2x+7y=-6
4x-y=18\
show step by step how it is solved

Answers

Answer 1

Answer: (60/13, 6/13)

Concept:

There are three general ways to solve systems of equations:

Elimination SubstitutionGraphing

Here, we are going to use elimination since all the variables are in the corresponding position.

Solve:

Given

[tex]\left \{ {{2x+7y=-6} \atop {4x - y=18}} \right.[/tex]

Multiply the first equation in order to eliminate [x]

[tex]\left \{ {{4x + 14y = -12} \atop {4x - y = 18}} \right.[/tex]

Subtract the second equation from the first equation to eliminate [x]

[tex]14y-y=-12+18[/tex]

[tex]13y=6[/tex]

Divide 13 on both sides

[tex]13y/13=6/13[/tex]

[tex]\boxed{y=\frac{6}{13} }[/tex]

Substitute [y] value in order to get [x] value

4x - y = 18

4x - 6/13 = 18

4x = 18 + 6/13

4x = 240/13

[tex]\boxed{x=\frac{60}{13} }[/tex]

Hope this helps!! :)

Please let me know if you have any questions


Related Questions

Solve for x

R=x-b/n

Show work

Answers

Step-by-step explanation:

There are several methods to solve equations of the type AX = XB. These type of equations occur in domains like robotics, for which solutions have been proposed like the Tsai and Lenz method [IEEE 1987], for example. 1) I feel solving the equation XA = XB is not the same as solving the known form AX = XB. Am I right? 2) Neither can it be solved like the Sylvester equation, because even that requires AX+XB=CAX+XB=C form. What i have is XA=XBXA=XB, a redundant set of equations. That is,

A1.XA2.XAn.X=X.B1=X.B2⋮=X.BnA1.X=X.B1A2.X=X.B2⋮An.X=X.Bn

If i am correct, these could be rewritten into another form like AX=BXAX=BX. Should i rewrite the equation and try to solve this problem using any other existing methods?

Is the graph a linear function, nonlinear function, or relation?

Answers

Answer:

Non-linear

Step-by-step explanation:

just did it

Answer:

Nonlinear function

Step-by-step explanation:

Because it's along the x-axis but isn't a straight line if it was a straight line it would be considered a "Linear Function".

Find the possible subsets of A = {a,b}​

Answers

Answer:

Step-by-step explanation:

Subset of A = { {} , {a} , {b}, {a.b} }

A 3m ribbon is cut into two pieces.The shorter length measures 0.75m.Write the ratio of the shorter length to the longer length in the simplest form a:b,where a and b are both integers.

Answers

Answer:

1:3

Step-by-step explanation:

3 m - .75 m = 2.25 m Find the length of the longer piece.

.75:2.25 Ratio in un-simplified form

[tex]\frac{.75}{2.25}[/tex] Write it as a fraction.

[tex]\frac{75}{225}[/tex] Multiply the numerator and denominator by 100 to remove the decimal.

[tex]\frac{3}{9}[/tex] Divide the numerator and denominator by 25.

[tex]\frac{1}{3}[/tex] Simplify further by dividing the numerator and denominator by 3.

1:3 Convert back to ratio form.

Josh sees that the ratio of boys to girls is 1/2, so he says that half of the students are boys?

Answers

Answer:

no.

Step-by-step explanation:

The ratio is 1/2. That means that if there is one boy, there are 2 girls. Altogether, there are 3 people.

The answer is no. Boys would be one-third and girls are two-thirds.

If this helped, please mark me as brainliest. Thank you! ;)

A right triangle has leg lengths of 6 cm and 9 cm,
find length of the missing side.

help please :)

Answers

Answer:

3*sqrt13

Step-by-step explanation:

You search for hypotenuse

Squared hypotenusw is equal to 6^2+9^2= 36+81=117

Hypotenuse is equal to sqrt117= sqrt9*sqrt13= 3*sqrt13

1. Which of the following is a true statement?
a. To square a number, multiply the number
by 2.
b. The inverse of squaring a number is to
divide the number by 2.
c. To square a number, multiply the number
by itself.
d. A perfect square is a number whose
square root is an even number.
SHOW PROOF

Answers

Answer:

C

Step-by-step explanation:

Squaring is multiplying a number by itself

Examples:

2 x 2 = 4

3 x 3 = 9

4 x 4 = 16

etc.

The table below shows primary school enrollment for a certain country. Here, x represents the number of years after 1820, and y represents the enrollment percentage. Use Excel to find the best fit linear regression equation. Round the slope and intercept to two decimal places.

Answers

Answer:

I don't know if you can solve it without the table since we have to do the calculations with the table. If you put up the table that should help alot.

HELP PLEAASSEE ?? ANYONE ???
The diagram shows 3 identical circles inside a rectangle.
Each circle touches the other two circles and the sides of a rectangle, as shown in the diagram.
The radius of each circle is 2 mm.
Work out the exact area of the rectangle. Give your answer in the form
[tex]a \sqrt{3} + b[/tex]
where a and b are integers.​

Answers

Answer:

as the diagram is not provided by you

Step-by-step explanation:

proper an answer cannot be written if the three circles touch Each Other as well as the the sides of the rectangle it means that rectangles length and breadth are made by attaching to circles together which means that length and breadth of the rectangle are equal therefore length is equal to diameter of one circle into two that is 8 therefore length and breadth of the rectangle are 8 each other for exact area of rectangle is 8 x 8 = 64

Answer:

apparently 4root3 + 8

Step-by-step explanation:

Write the rules for determining the sign of the product when multiplying integers. Then, write (4 points)
the rules for determining the sign of the quotient when dividing integers. Use your own words
and use complete sentences. Make sure you answer both questions presented in this problem.
I

Answers

Answer:

hahaaaaaaaaaaaaaaaaa

Step-by-step explanation:

Answer:

IF the signs ARE same the result is a POSITIVE, if the signs are NOT the same the result is NEGATIVE

Step-by-step explanation:

I have to write these equations in scientific notation:
870.4
32.508
0.8006

Answers

Answer:The solutions are in the attached file below

Step-by-step explanation:

What is the quotient of 4.653 x 107 and 7.05 x 103 expressed in scientific
notation?

Answers

46530000 / 7050 = 6600 = 6.6 x 10^3

solve for A. W = a/3
PLEASEEEE

Answers

Answer:

3w

Step-by-step explanation:

[tex]w=\frac{a}{3} \\3w=a\\[/tex]

i got 3w! hope it help :)

PQR and SQR form a linear pair. Find the sum of their measures.

Answers

180 is your awnser too this one

i dont know if im right or not

Answers

Answer:

You are right

Step-by-step explanation:

80% of a number is always going to be less than 100% of a number. Assuming the numbers positive, which it said

Answer: its >

Step-by-step explanation: beacuse80% x .01 =0.008 and 0.008= 0.8%

(3x+2)(x^2-4x-2) simplify the expression to a polynomial in standard form

Answers

(3x+2)(x²-4x-2)

(3x) (x²-4x-2) + (2) (x²-4x-2)

= 3x³ – 10x² – 14x – 4

I hope I helped you^_^

hey please help i’ll give brain

Answers

Answer:

The answer is 2. It is the commutative property of addition. This states that the order of numbers does not matter in addition or multiplication. As long as all the numbers are there, it will give the same answer :)

Step-by-step explanation:

Write a word problem for this equation: $14 - x = $3

Answers

Answer:

$14 - x = $3

Step-by-step explanation:

$14 - x = $3

1111111111111111

1111111111111

help I will give brainly!!!!!!!!

Answers

the rise is 4 and the run is 5

At a day care center for toddles there is one
teacher for every 7 toddlers. Determine
whether there is a direct variation between
the number of toddlers, y, and the number of
teachers, x. If so, find the equation of direct
variation.

Answers

Answer: x = 7y.

Step-by-step explanation: There is direct variation between the number of toddlers and the number of teachers. We know this because when one increases, the other would as well. We can write the equation of direct variation as x = 7y.

Yes there is a direct variation between the number of toddlers and the number of teachers.

If there is one teacher(x) for every 7 students(y)

The equation would be,

x = 7y

Two kids at a summer camp, Amelia and Jennifer, are competing in a potato sack race. Amelia is younger, so she is given a head start of 3 yards. When the race starts, Amelia hops at a rate of 3 yards per second, and Jennifer hops 4 yards per second. Eventually, Jennifer will overtake Amelia. How far will Jennifer have to hop? How long will that take?

Answers

It will take 12 yards

PLEASE HELPP MEEE I NEED THE ANDWER QUICKKK
20.00$ - a=8.45$

Answers

the answer to the equation is $11.55

Answer:

a= 11.55

Step-by-step explanation:

If the answer is 8.45, then the variable equals the difference of 20 minus the answer, 8.45

Hope this helps!

What is the value of the expression 5¼(-10.2)? Record your answer and be sure to use the correct place value.

Answers

The value of the given expression is - 53.55

[tex]5 \frac{1}{4}( - 10.2) \\ [/tex]

The bracket implies multiplication :

Hence,

[tex]5 \frac{1}{4}( - 10.2) \\ [/tex] = [tex]5 \frac{1}{4}\times - 10.2

Converting the fraction to improper :

[tex] \frac{21}{4} \times - 10.2[/tex]

Then, to decimal :

[tex]5.25 \times - 10.2 = - 53.55[/tex]

Hence, the value of the expression is - 53.55

Learn more : https://brainly.com/question/5992872

Write –0.4 in simplest form.

Answers

Answer as a Fraction: -2/5

Step-by-step explanation:

-0.4 = -4/10

       = -2/5

Find the midpoint of me of the line segment

Answers

A and b are themself midpoint

The temperature at 9 a.m. is 2 degrees. The temperature rises 3 more degrees by noon. Which expression describes the temperature at noon?

Answers

Answer: 2 degrees + 3 degrees = 5 degrees

Step-by-step explanation: Though the times might be confusing, the problem itself is simple addition- if the temperature rises, or goes up, by a certain number, in this case three, you're just going to add that number to the initial number, two.

I have two ice cream and I - 5 ice creams how many ice cream will be left​

Answers

Answer:

2 1/5

Step-by-step explanation:

If a = 6 and b = 2, then what does ab equal?

Answers

Answer:

12

Step-by-step explanation:

ab

Let a = 6 and b = 2

6*2

12

PLS HELP WILL MAKE FIRST RIGHT ANSWER BRAINLIEST ​

Answers

The correct answer is A.

Points A, B, and C are collinear. Point B is between A and C. Find the length indicated.​

Answers

Answer:

AB=1

Step-by-step explanation:

Colinear means all points are on the same line. We need to find the measure of AB.

Using the segment addition postulate,

ab+bc=ac

Subsitue this for our known values

[tex]2x + 15 + 9 = x + 17[/tex]

Solve for x

[tex]2x + 24 = x + 17[/tex]

[tex]x + 24 = 17[/tex]

[tex]x = - 7[/tex]

Plug this in for AB

[tex]2( - 7) + 15 = 1[/tex]

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