2x - 3y = 16
5x - 3y = 13
solve the systems of equations

Answers

Answer 1

The solution to the system of equation is (-1, -6)

System of equation

Given the system of equations

2x - 3y = 16

5x - 3y = 13

Subtract to have:

2x-5x = 16 - 13

-3x = 3

x = -3/3

x = -1

Substitute x = -1 into 1 to have:

2(-1) - 3y = 16

-2 - 3y = 16

-3y = 16 + 2

-3y = 18

y = -6

Hence the solution to the system of equation is (-1, -6)

Learn more on system of equation here: https://brainly.com/question/14323743

#SPJ1


Related Questions

ridden a bike course that is 40 miles long. so far he has ridden 28 miles of the course. what percentage of the course has he ridden so far

Answers

So far, he has ridden 70% of the bike course.

Percentage, which was adapted from the Latin word "per centum", which means "by the hundred", is a fraction or a ratio in which the value of whole is always 100. It is represented by the symbol "%".

The formula to get the percentage is:

Percentage = (Value / Total Value) × 100

If the total value of the bike course is 40 miles and the value which the percentage we are looking for is 28 miles, evaluating the equation:

Percentage = (Value / Total Value) × 100

Percentage = (28 / 40) × 100

Percentage = (0.7) × 100

Percentage = 70

Therefore, he has ridden 70% of the bike course so far.

To learn more about percentages:

https://brainly.com/question/24304697

#SPJ4

Solve the problem and explain the process.

Answers

Answer:

2x + 2 + h.

Step-by-step explanation:

F(x+h) is f(x) where x+h replaces x:-

f(x + h) = (x + h)^2 + 2(x + h) - 3

[f(x+h) - f(x)] / h

= (x + h)^2 + 2(x + h) - 3 - (x^2 + 2x - 3)  /  h

= [x^2 + 2hx + h^2 + 2x + 2h - 3 - x^2 - 2x + 3] / h

= (2hx + h^2 + 2h) / h

= 2x + 2 + h

The limit of [f(x+h) - f(x)] / h as h ----> 0 is 2x + 2.

We refer to 2x + 2 as the derivative of x^2 + 2x - 3.

Solve the equation x+ 4x-7 = 0 by completing the square. give your answers correct to 2 decimal places.

Answers

Solution:

[tex] {x}^{2} + 4x - 7 = 0 \\ → {x}^{2} + 4x = 7[/tex]

Add the square of the half of the coefficient of the unknown(x) to both sides of the equation.

[tex] {x}^{2} + 4x + ( \frac{4}{2} {)}^{2} = 7 + ( \frac{4}{2} {)}^{2}[/tex]

[tex] {x}^{2} + 4x + (2 {)}^{2} = 7 + (2 {)}^{2} [/tex]

[tex] {x}^{2} + 4x + (2 {)}^{2} = 7 + 4[/tex]

Bring out x and 2 and square them as shown below:

[tex](x + 2 {)}^{2} = 11[/tex]

Now, square root both sides of the equation to find the value of x as shown below:

[tex] \sqrt{(x + 2 {)}^{2} } = \sqrt{11} [/tex]

Add a + or - sign since it is a quadratic equation

[tex]x + 2 = \binom{ + }{ - } \sqrt{11} [/tex]

[tex]x + 2 = \binom{ + }{ - } 3.3166[/tex]

[tex]x = - 2 + 3.166 [/tex] or

[tex]x = - 2 - 3.166[/tex]

Therefore:

[tex]x = 1.17[/tex] or

[tex]x = - 5.17[/tex]

to two decimal places.

Solve the system of equations : 5x - 2y = -1 and -15x + 6y = 3

Answer as an ordered pair:

Answers

Step-by-step explanation:

23+35

37+83=4733

24783+3747

Determine if 0.18750.1875 is rational or irrational and give a reason for your answer. is it or not??

Answers

The number 0.1875 is a Rational number.

What is Rational number?

If a number can be expressed as a fraction of two integers then its called Rational number.

Given that;

The number = 0.1875

Now, Determine if it is rational or not we can convert it into fraction as;

0.1875 = 1875/10000

Divide numerator and denominator by 25,

= 75/400

Again, Divide numerator and denominator by 25,

= 3/16

Clearly, The above is a rational number because it can be expressed as a fraction of two integers.

So, The number 0.1875 is a Rational number.

Learn more about the rational number visit:

https://brainly.com/question/5186493

#SPJ1


Mo is sorting number cards with ratios. All of these ratios are equivalent to 3:5. Circle the ratios that are not equivalent.
13:15
30:50
7:9
3x:5x
5:3

Answers

Ratios which are not equivalent to 3: 5 are 13: 15, 7:9, 5:3.

As given in the question,

Mo is sorting number cards with ratios

Ratio = 3 : 5

Equivalent ratio to 3 : 5

13 : 15 cannot be reduced.

13 : 15 not equivalent to 3:5

30:50 = (3 ×10) : (5×10)

          = 3:5

7:9  cannot be reduced . It is not equivalent to 3:5

3x:5x = 3:5

5:3 reciprocal of 3:5 .It is not equivalent to 3:5.

Therefore, ratios which are not equivalent to 3: 5 are 13: 15, 7:9, 5:3.

Learn more about ratios here

brainly.com/question/13419413

#SPJ1

If 3x +2y =24 what is the value of


6x +4y
————
3

Answers

Answer:

16 is correct Answer. Please mark me as brainlist answer.

in the dominican republic in august, the distribution of daily high temperature is approximately normal with mean 86 degrees fahrenheit (°f). approximately 95% of all daily high temperatures are between 83°f and 89°f. what is the standard deviation of the distribution? 1°f 1 degree fahrenheit 1.5°f 1.5 degrees fahrenheit 2°f 2 degrees fahrenheit 3°f 3 degrees fahrenheit 6°f

Answers

The standard deviation of the distribution = 1.5°F

Given that the distribution of daily high temperature is approximately normal.

Population mean, [tex]\mu[/tex] = 86°F

Also approximately 95% of all daily high temperatures are between 83°F and 89°F.

So here [tex]X_1[/tex] = 83°F and [tex]X_2[/tex] = 89°F

We have the z - statistic ,

             [tex]z=\frac{x-\mu}{\sigma}[/tex]

where [tex]\sigma[/tex] is the Standard deviation.

For 95% probability, the z-value for normal distribution is 1.96.

As we consider the positive z-value, take X =  [tex]X_2[/tex] =  89°F

So,   [tex]z=\frac{x-\mu}{\sigma}[/tex]

⇒  [tex]\sigma = \frac{x-\mu}{z} = \frac{89-86}{1.96} =1.53[/tex] ≈ 1.5°F

So the standard deviation of the distribution = 1.5°F

Learn more about standard deviation at https://brainly.com/question/475676

#SPJ4

       

Total number of possible equal parts in a fraction (a) denominator (b) numerator (c) mixed number (d) divisor?

Answers

Denominator: The value in a fraction that appears below the fractional bar and indicates the total number of equal parts.

In a fraction, the value that appears above the horizontal line is referred to as the numerator. It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the vinculum.

A mixed number is a representation of both a whole number and a legal fraction. In most cases, it denotes a number that falls between any two whole numbers.

An integer that totally or partially divides another integer is known as a divisor.

In a division equation, a divisor is represented by the formula

Dividend ÷ Divisor = Quotient.

The correct option is (a).

Learn more about denominator here:

https://brainly.com/question/18777681

#SPJ4

3) Which TWO expressions will have a POSITIVE product?
a) -9x7x4
b) -4 x (-3) x 2
c) -5 x (-12) × (-1)
d) -1 x 1 x (-1)
e) 5x0x (-5)

Answers

Expressions with a positive product
B)-4*(-3)*2
Answer 24
D) -1*1*(-1)
Answer 1

Answer: B and D

Step-by-step explanation:

B.)   -4 x (-3) x 2

       -4 x (-3) = 12 x 2 = 24

D.   -1 x 1 x (-1)

     -1 x 1 = -1 x (-1) = 1

Five more than twice a number is equal to 3 more than triple a number. Write the equation and solve.

Answers

Answer:

Equation: 5 + 2x = 3x + 3  ; Answer: x = 2

Step-by-step explanation:

Try and re-reading the question until you truly grasp the concept of it or write an equation by reading each word and making sure the operations are suitable according to the text. Then, finally, simply just solve.

Hope this helps! :D

Triangle UML has coordinates U (-3, -4), M(-1, -1) , and L(-2, -5). If the triangle is translated 5 units up and 1 unit left to form triangle U’M’L’, what will be the coordinates of L’?

Answers

After the translation the coordinates of L' are (-3, 0) for the new triangle of U’M’L’.

What is defined as the translation?In geometry, translation refers to a function which moves an object a specified distance. The object is not elsewhere altered. It is not rotated, mirrored, or resized.Every location of the object should be moved within the same direction for the same distance during a translation.When performing a translation, this same initial object is referred to as the pre-image, and also the object just after translation is referred to as the image.

The coordinates of triangle are-

U (-3, -4), M(-1, -1) , and L(-2, -5).

The triangle is translated 5 units up and 1 unit left to its original place.

Thus, for the 5 units up translation 5 units will get added to the y-coordinates.

New y-coordinate of L' is -5 + 5 = 0.

For 1 unit left , 1 units will get reduced from the original x-coordinate.

New x-coordinate = -2 - 1 = -3

Thus, the new coordinates L' becomes (-3, 0).

To know more about the translation, here

https://brainly.com/question/1574635

#SPJ9

5x-5=9x+3 Solve for x

Answers

Answer:

x = -2

Step-by-step explanation:

5x - 5 = 9x + 3

- 5 = 4x + 3

- 8 = 4x

- 8/4 = 4x/4

x = -2

EASY POINTS WILL GIVE BRAINLIST TO BEST ANSWER
What is the result of solving this equation for t ?
Mt – 5ab = nRT
explain!!

Answers

The required equation would be t  = (nRT + 5ab)/M which is the result of the equation for t.

What is an equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation is given as

Mt - 5ab = nRT

We have to determine the result of solving this equation for t

⇒ Mt - 5ab = nRT

⇒ Mt  = nRT + 5ab

⇒ t  = (nRT + 5ab)/M

Therefore, the required equation would be t  = (nRT + 5ab)/M which is the result of the equation for t.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ1

angle A and angle B are vertical angles. If m angle A=(2x+20)^ and m angle B=(3x+1)^ then find the value of x.

Answers

If angle A and angle B are vertical angles. If m angle A=(2x+20)^ and m angle B=(3x+1)^ then x has a value of 19.

What is the Vertical Angles Theorem?

The Vertical Angles Theorem states that if two lines intersect, then the vertical angles formed by the intersecting lines are congruent.

Vertical Angles Theorem states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent. Vertical angles are always congruent angles,

By the Vertical Angles Theorem, we know that angle A is congruent to angle B.

Therefore, we can set their angle measures equal to each other and solve for x:

2x + 20 = 3x + 1

Subtract 2x from both sides:

20 = x + 1

Subtract 1 from both sides:

19 = x

Hence, x has a value of 19.

to learn more about Vertical Angles Theorem, Visit

https://brainly.com/question/1673457

#SPJ1

A 5-foot board is cut into 4 equal pieces. Which equation shows how to find the length of each piece?

Answers

5 / 4 = 1.25 (or 5/4)

From midnight to 7:00 am, the temperature dropped 0.8°C

temperature at 7:00 am was 4.4 deg * C what was the temperature at midnight?

Answers

Answer:

5.2

Step-by-step explanation:

add back 0.8 from 7 am temp which is 4.4 degrees.

Answer:

5.2 °C

Step-by-step explanation:

4.4°C + 0.8°C = 5.2°C

help pleaseeeeeee :(((

Answers

Answer: are there any options?

Step-by-step explanation:

What is the value of x − 8 if x = −21?
−29
−13
13
29

Answers

Answer:  29

Step-by-step explanation:

-21 - 8 = 29

The reason why it's a positive instead of a negative is because when you have an even number of positives in an equation the answer will always be positive and vice versa.

Out of a bag of marbles, the theoretical probability of selecting purple is 2/3. If 120 marbles are in the bag, then how many are purple

Answers

Answer:

80

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] = [tex]\frac{x}{120}[/tex]  To get 120 we needed to multiply 3 by 40, so we will multiple 2 by 40 to get 80.

One month, a homeowner used 150 units of gas and 520 units of electric for a total of 54.20. The next month he used 210 units of gas and 405 units of electric for a total of 82.35.
I understand the 2 equations are
150g + 520e = 84.20
210g + 405g = 82.35

I dont understand how to get the value of g and e though, like someone said to use 7 to multiply against the first equation and -5 the second, but like where are we getting 7 and -5 from.

Answers

The solution to the system of equations is:

e = 0.109

g = 0.183

How to solve the system of equations?

Defining the variables:

g = cost of the unit of gas.

e = cost of the unit of electricity.

Then the system of equations is:

150*g + 520*e = 84.20

210*g + 405*e = 82.35

Now we want to solve this.

To do so, we need to isolate one of the variables in one of the equations. Let's isolate g in the first one:

g = (84.20 - 520*e)/150

Now we replace that in the other equation so we get:

210*(84.20 - 520*e)/150 + 405*e = 82.35

Now we can solve this for e:

210*(84.20 - 520*e)/150 + 405*e = 82.35

(210/150)*(84.20 - 520*e) + 405*e = 82.35

117.6 - 728*e + 405*e = 82.35

117.6  - 323*e = 82.35

e = (117.6  - 82.35)/323 = 0.109

Then:

g = (84.20 - 520*0.109)/150 = 0.183

Then we can conclude that:

e = 0.109

g = 0.183

If you want to learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ1

-11 to the power of 0

Answers

-11 to the power of 0 is 1

The cost to rent a boat is $25 per hour plus a non-refundable $30 deposit

A. write an expression to rent a boat for h hours

B. Evaluate the expression for h=2

Answers

A. f(h) = 25h + 30
B. f(2) = (25 x 2) + 30 = $80

Answer:

A. 25h+30=80

B.25(2)+30=80

Please Help due tonight.

Answers

Answer:

D. -3b + 5 divided by -3

Step-by-step explanation:

I'm not too sure but i think its this because when you divide by a negative number you have to flip the sign and since you are solving for x you will minus the b term on both sides. But im not too sure keep thinking about it

Carlos is on a hike. He starts at 21 meters above sea level. He
stops at 6 meters below sea level. What is the difference in
elevation from when he started the hike to when he stopped?

Answers

Answer:

difference of 27 m

Step-by-step explanation:

starts at 21m and ends at -6m

21+x=-6

(rearrange so the X is by itself)

21+6=x     x=27

I will Award A Brainlist Hello please Help its a Math Problem !!!


Thank you so much ! for your time.

Answers

It should be the 12.8, because you can go from one house to the school, then to the house, so long distance

Answer:

12.8 i don't know oof

Step-by-step explanation:

8.2 + 4.6 is 12.8, but I'm not completely sure it's the right answer.

bill and jerry start at the same point. bill walks due west and jerry walks due east for 6 meters. they turn right and walk 3 more meters. who is closer to the north pole?

Answers

Nearer to the north pole is Bill.

The path that an object moves along is referred to as its direction. A feature's direction can alternatively be defined as its location in relation to another feature's position.

The four cardinal directionsnorth, south, east, and west—are often known by their first letters: N, S, E, and W. These directions are the four major points of a compass.

The cardinal points are another name for these four directions.

To know more about cardinal points from the link:
brainly.com/question/13437433

#SPJ9

Please help asap
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Solve five sixths times c minus 1 equals 1 plus five sixths times c.

Infinite solutions
No solution
c equals five sixths
c equals twelve tenths

Answers

no solution tbh that equation makes no sense written out like that but i’m sure it’s no solution

Answer:

No solution!

Step-by-step explanation:

I just took the quiz and got 100%

In the diagram below of triangle OPQ, R is the midpoint of OQ and S is the
midpoint of PQ. If RS = -3x + 38, and OP = 4x - 14, what is the measure of
RS?

Answers

Step-by-step explanation:

dyfyfyffufururrufuufguugvjiy

Step-by-step explanation:

i dont understand the answer noksf okay

Determine which integer in the solution set will make the equation true.

2s − 10 = −12
S: {−1, 0, 1, 2}

−1
0
1
2

Answers

Answer:

- 1 makes the equation true

Step-by-step explanation:

2s - 10 = - 12 ( isolate the term in s by adding 10 to both sides )

2s = - 2 ( divide both sides by 2 )

s = - 1

The integer ion in the solution set will make the equation true is -1. The correct option is a.

What are integers?

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers.

An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction. Any positive or negative number without fractions or decimal places is known as an integer, often known as a "round number" or "whole number."

Given equation is

2s - 10 = - 12 ( isolate the term in s by adding 10 to both sides )

2s = - 2 ( divide both sides by 2 )

s = - 1

Therefore, the correct option is a, −1.

To learn more about integers, refer to the link:

https://brainly.com/question/15276410

#SPJ2

Other Questions
When Using a gas tube spectroscopy , how does it give off a certain color or colors? Explain in terms of electrons. What scientist discovered this? Select ALL the correct answers. How did southern states keep African Americans from voting without violating the Fifteenth Amendment? - by requiring voters to live in the state in which they vote - by requiring voters to pass literacy tests - by creating laws to socially separate races - by requiring voters to pay poll taxes - by setting up lynching stations around the polls Read each example of dialogue from A Tale of Two Cities by Charles Dickens. Which dialogue is correctly punctuated? "It's not my affair," said he, with a final shrug of the shoulders. "The people from the market did it. Let them bring another." "It's not my affair." said he, with a final shrug of the shoulders. "The people from the market did it. Let them bring another"."It's not my affair", said he, with a final shrug of the shoulders. "The people from the market did it. Let them bring another." "It's not my affair". said he, with a final shrug of the shoulders. "The people from the market did it. Let them bring another". How to find the gradient of the straight lines? I dont want direct answer, I want explanation please. Im confused how can I find the x and y axis Which of the following describes a strategy for revising globally? How did the explorations of hernando de soto impact american indians in georgia and throughout the southeastern area of north america?. A wire carrying a current I is bent into the shape of an equilateral triangle of side L. (b) At a point halfway between the center and any vertex, is the field stronger or weaker than at the center? Give a qualitative argument for your answer. What is the density of a liquid with a mass of 31.1415 g and a volume of 30.13 ml? Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form. You decide you need a new computer. The cost of the computer is $864. However, the store also offers a rent to own option which will cost $41 per week for 24 weeksHow much more will the rent to own option cost after you have made all of the payments? Soua read 8 pages in 3 minutes. if she keeps reading at this pace, how many pages will she read in 10 minutes? round Ur answer to the nearest tenth. Which two wildcard characters are supported by the find and replace dialog box in an excel worksheet?. 3. Check for Reasonableness Two students areasked to write an equivalent algebraic expressionfor (5v-3)2. Chen writes the equivalent algebraicexpression as 25v-6. Mia writes the equivalent25 Who is correct?algebraic expression asV6 (c) the store is currently producing 80 milkshakes and 110 sundaes. calculate the opportunity cost of increasing milkshake production from 80 to 100 milkshakes. show your work. What is structurally different between starch and cellulose that gives them different physical properties?. Provisions in the tax law that promote energy conservation and more use of alternative (nonfossil) fuels can be justified by? pleas help quick as possible," Lara's drink coaster has a diameter of 6 centimeters. What is the coaster's circumference?Use 3.14 for ." Thank you Hector earns $12 an hour plus a daily per diem of $15. This week he worked 4 days and earned a total of $444. Write an equation to find how many hours Hector worked this week. What is the selling price if cost is $18.00 and the mark up is 70% ??show you work a county taxes real property at a millage rate of 15. if your customer owns real property in the county and the assessed value is 80% of the current market value of $150,000, the annual tax is