Solve the simultaneous equations 4x+8y=-4 2y-5x=23

Answers

Answer 1

Answer:

x = -4,  y = 3/2

Step-by-step explanation:

simplify the 1st equation by dividing each term by 4 to get:

x + 2y = -1

-5x + 2y = 23

Subtract to get: 6x = -24

x = -4

find 'y':    2y - 5(-4) = 23

               2y + 20 = 23

               2y = 3

                y = 3/2

Answer 2

Answer:

y is equal to 1.5, and x is equal to -4

Step-by-step explanation:

given:

[tex]4x + 8y = -4[/tex]

[tex]2y - 5x = 23[/tex]

We can start by factoring 4 out of the first equation:

[tex]x + 2y = -1[/tex]

Now let's multiply it by -5:

[tex]-5x - 10y = 5[/tex]

We'll rearrange the other equation to match that (just for clarity):

[tex]-5x + 2y = 23[/tex]

Now let's subtract the modified equation from that:

[tex]\begin{array}{c}-5x + 2y = 23\\-5x - 10y = 5\\ \ \ \ \ \ \ \ \ \ \ 12y = 18\end{array}[/tex]

So y is equal to 18/12, or 1.5

Let's plug that into one of the first equations and see what we get:

[tex]2y - 5x = 23\\2(1.5) - 5x = 23\\3 - 5x = 23\\-5x = 20\\x = -4[/tex]

Giving us an x value of negative four.  Let's plug that into the other equation to confirm:

[tex]4x + 8y = -4\\4(-4) + 8y = -4\\-16 + 8y = -4\\-4 + 2y = -1\\2y = 3\\y = 1.5[/tex]

That matches up, so our answer is correct.


Related Questions

In the figure below, what is the value of x

Answers

Answer:

x = 49°

Step-by-step explanation:

Angles in a Triangle

The sum of the internal angles in any triangle adds up to 180°.

The figure shows a triangle that includes two angles with the same tick mark. This means they are congruent, i.e. they measure the same.

The larger triangle has three defined angles: 43°, 39°, and 2x. Since the sum of them is 180°:

43° + 39° + 2x = 180°

Operating:

82° + 2x = 180°

Subtracting 82°:

2x = 180° - 82° = 98°

x = 98°/2 = 49°

x = 49°

answer this maths question.

Answers

Answer:

IM NOT ABLE SEE THE QUESTION

Step-by-step explanation:

PLEASE TYPE AND SEND IT

Answer:

jwjwjowowowowowoowow

7 divided by 276 is what? I am terrible at division

Answers

Answer:

39.4285714286

Step-by-step explanation:

Hope this helps and have a great day!!!

F R E E P O I N T S ! !

Answers

Answer:

thank you

Step-by-step explanation:

happy holidays have a good day

Answer:

thank you

Step-by-step explanation:

what is the answer of 18x 2 and 3

Answers

i’m pretty sure it’s 39.

explanation: 18x2= 36 and 3 is 39.

y = x-1
y= x-2
show work

Answers

Answer:

for y=x-1 y=-1 and for y=x2 y=0

Step-by-step explanation:

to find the y intercept substitute x=0 so you have your answer y=-1 and y=0  

A furniture manufacturer produces chairs and sofas. Each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. The manufacturer has 300 yards of fabric available. To fulfill orders, the number of sofas must be at least twice the number of chairs. The manufacturer earns a profit of $50 on each chair and $80 on each sofa. Let x represent the number of chairs and y represent the number of sofas. Choose the function that represents the manufacturer's profit, P.

Answers

Given:

Fabric required for each chair = 10 yards

Fabric required for each sofa = 20 yards.

Total available fabric = 300 yards.

The number of sofas must be at least twice the number of chairs.

Profit on each chair = $50

Profit on each sofa = $80.

To find:

The function that represents the manufacturer's profit, P.

Solution:

Let P represents the manufacturer's profit, x represent the number of chairs and y represent the number of sofas.

Profit on 1 chair = $50

Profit on x chairs = $50x

Profit on 1 sofa = $80

Profit on y sofas = $80y

Total profit = Profit on x chairs + Profit on y sofas

[tex]P=50x+80y[/tex]

Therefore, the required profit function is [tex]P=50x+80y[/tex].

Answer:

B on edge

Step-by-step explanation:

Read the excerpt from Heart of a Samurai.

The water was so clear, he could see straight to the bottom. A snail was making a path like a shiny ribbon slowly unfurling on the sand.
What does the author use the most precise words to describe in the excerpt?
A. the water’s movement
B. the water
C. the snail
D. the snail’s path

Answers

Answer: D. the snail’s path

Step-by-step explanation: because The author uses the most precise words to describe the snail's path.

This excerpt has been taken from Heart of a Samurai, a historical novel written by Margi Preus in 2010. Precise words such as 'shiny', 'ribbon' and 'unfurling' have been used in the second sentence to describe the path of the snail, which is a small animal that has a wet body and moves very slowly. In other words, the author describes the way the path looks by establishing a comparison between the path and a shiny ribbon.

Hope this help

Answer:

the snails path

Step-by-step explanation:

SOLVE THIS PLEASE, ITS GOT SOMETHING TO DO WITH SOH, CAH, TOA

Answers

Answer:

x ≈ 36.9°

Step-by-step explanation:

Using the sine ratio in the right triangle, that is

sinx = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{6}{10}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{6}{10}[/tex] ) ≈ 36.9° ( to 1 dec. place )

Explain what happens when you divide a fraction by itself.​

Answers

Answer:

you will get 1

Step-by-step explanation:

because it can only go into its self one time

If x = 3 (y + 2) minus 1 what is the value of w in terms of x and y?

A.) w = StartFraction x minus 3 y Over 3 EndFraction
B.) w = StartFraction x minus 3 y + 1 Over 3 EndFraction
C.) w = x minus 3 y + 1
D.) w = StartFraction x + 1 Over 9 y EndFraction

Answers

Answer:

B!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

The equation x = 3y + 3w - 1 can be written as in terms of x and y by making the subject w is w = (x - 3y + 1)/3 option (B) is correct.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

The question is incomplete.

The complete question is:

If x = 3 (y + w) -1 what is the value of w in terms of x and y?

A.) w = StartFraction x minus 3 y Over 3 EndFractionB.) w = StartFraction x minus 3 y + 1 Over 3 EndFractionC.) w = x minus 3 y + 1D.) w = StartFraction x + 1 Over 9 y EndFraction

We have an expression:

x = 3 (y + w) -1

To find the value of w in terms of x and y.

By using the distributive property:

x = 3y + 3w - 1

By arranging the equation:

3w = x - 3y + 1

Divide by 3 on both the side:

w = (x - 3y + 1)/3

Thus, the equation x = 3y + 3w - 1 can be written as in terms of x and y by making the subject w is w = (x - 3y + 1)/3 option (B) is correct.

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HELP PLSS
Solve the equation 17−(3x+5)=3x−6

Answers

Answer:

x = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

17 - (3x + 5) = 3x - 6

Step 2: Solve for x

Distribute negative:                   17 - 3x - 5 = 3x - 6Add 3x on both sides:               17 - 5 = 6x - 6Combine like terms:                  12 = 6x - 6Isolate x term:                            18 = 6xIsolate x:                                     3 = xRewrite:                                      x = 3

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    17 - (3(3) + 5) = 3(3) - 6Multiply:                               17 - (9 + 5) = 9 - 6Add:                                     17 - 14 = 9 - 6Subtract:                              3 = 3

Here we see that 3 does indeed equal 3.

∴ x = 3 is the solution to the equation.

Answer:

x = 3

Step-by-step explanation:

17 - 1(3x + 5) = 3x - 6

17 − 3 − 5 = 3x − 6

12 - 3x = 3x - 6 subtract five

-3x + 12 = 3x - 6 rearrange terms

-3x = 3x - 18 subtract twelve

-6x = 18 subtract negative three

divide by negative six

x = 3

A small airplane can hold 44 passengers.fifteen passengers board the plane a. Identify an inequality that represents the additional number of passengers,p, that can board the plane. •15+p<= 44•p—44<=15 • 15+p>=44•15+p<=44. Solve the inequality, the solution is: B. Which best explains whether or not 30 more passengers can board the plane. Please solve this

Answers

Answers:

Inequality is [tex]15 + p \le 44[/tex]

Choice A) 30 more passengers cannot board the plane. Only 29 more passengers can board the plane

===============================================

Explanation:

15 people are already on the plane.

p is a placeholder for a positive whole number representing the additional number of people that can get on the plane.

In total, the plane holds 15+p individuals.

This expression's largest possible value is 44. Think of it as the ceiling. In terms of math, we call it the maximum. Since at most 44 people can be on the plane, this means the inequality we'll set up is [tex]15+p \le 44[/tex]

This says "15+p is less than or equal to 44". It's the same as saying "15+p is 44 or smaller".

---------------------------

To isolate p, we subtract 15 from both sides

Doing so leads to...

[tex]15+p \le 44\\\\15+p-15 \le 44-15\\\\p \le 29[/tex]

We can see that the largest p can get is 29, meaning that at most 29 more people can board the plane. There's no way that 30 people can board. That unfortunate 30-29 = 1 person must wait for another plane.

This all shows why choice A is the answer.

----------------------------

As a way to check the answer, we can note how p = 29 leads to 15+p = 15+29 = 44. We've filled the plane to full capacity.

If p = 30, then 15+p = 15+30 = 45, and we've gone 1 seat overboard.

How to solve using Substitution or Elimination??? Help!!
y=3x-1

y=2x+2

Answers

Answer:

Step-by-step explanation:

Since both equations equals y, then both equations equal each other.

3x - 1 = 2x + 2

Subtract 2x from both sides

x - 1 = 2

Add 1 to both sides

x = 3

Plug x = 3 into one equation(doesn't matter which)

y = 3x - 1

y = 3(3) - 1

y = 9 - 1

y = 8

Answer:

[tex]x=3[/tex]

[tex]y=8[/tex]

Step-by-step explanation:

From these two equations, we can substitute the first equation into the second equation (or the other way round). This gives us:

[tex]3x-1=2x+2[/tex]

[tex]3x-2x=2+1[/tex] (minus [tex]2x[/tex] and add [tex]1[/tex] on both sides)

[tex]x=3[/tex]

To solve for [tex]y[/tex], we can use substitution again:

[tex]y = 3(3)-1[/tex] (using the first equation given)

[tex]y=8[/tex]

Hope this helps :)

What is the area of a right triangle 6 centimeters
high with a base of 2 centimeters?

Answers

Area of a right triangle= base x hight = 2x6 = 12
So 12 is the area

The area of the triangle enclosed by 3 sides of a triangle is 6 cm²

What is the area of a triangle?

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. To find a triangle's area, use the formula area = 1/2 * base * height.

Given here: The dimensions of a triangle as 6 cm and base 2 cm

We know the area of the triangle is equal to half of the base times height,  

A=1/2×6×2

  =6 cm²

Hence, The area of the triangle enclosed by 3 sides of a triangle is 6 cm²

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4. Is the relation shown in the table a function? Use the graph
to justify your answer.
2
4
8
y
3
2
0
y
8
7
6
5
4
3
2
1
0
0 1 2 3 4 5 6 7 8

Answers

Answer:

67

Step-by-step explanais the bigges number taht u could find

Complete the flow proof​

Answers

Answer:

The two column proof is presented as follows;

Statement           [tex]{}[/tex]                 Reason

1. ∠V ≅ ∠Y         [tex]{}[/tex]                  Given

2. [tex]\overline {WZ}[/tex] bisects ∠VWY    [tex]{}[/tex]     Given

3. ∠VWZ = ∠YWZ       [tex]{}[/tex]         Definition of bisection of angle

4. [tex]\overline {WZ}[/tex] ≅ [tex]\overline {ZW}[/tex]          [tex]{}[/tex]             Reflexive property

5. ΔWVZ ≅ ΔWYZ   [tex]{}[/tex]            Angle-Angle-Side congruency postulate

6. [tex]\overline {VZ}[/tex] ≅ [tex]\overline {YZ}[/tex]   [tex]{}[/tex]                      CPCTC postulate

Step-by-step explanation:

The two column proof is presented as follows;

Statement           [tex]{}[/tex]                 Reason

1. ∠V ≅ ∠Y         [tex]{}[/tex]                  Given

2. [tex]\overline {WZ}[/tex] bisects ∠VWY    [tex]{}[/tex]     Given

3. Given that ∠VWY is bisected by [tex]\overline {WZ}[/tex], therefore ∠VWY is split into two equal angles, ∠VWZ and ∠YWZ, from which we have ∠VWZ = ∠YWZ     [tex]{}[/tex]         by the definition of bisection of angle ∠WXY by [tex]\overline{WZ}[/tex]

4. By reflexive property, a line is congruent to itself, therefore, [tex]\overline {WZ}[/tex] ≅ [tex]\overline {ZW}[/tex]  

5. Given that two adjacent angles and a side adjacent to the two angles in ΔWVZ are congruent to the corresponding two adjacent angles and adjacent side in ΔWYZ,  ΔWVZ is congruent to ΔWYZ by the Angle-Angle-Side (AAS) congruency postulate

6. Given that ΔWVZ ≅ ΔWYZ, and side [tex]\overline {VZ}[/tex] of ΔWVZ is the corresponding side to side [tex]\overline {YZ}[/tex] of ΔWYZ, therefore, [tex]\overline {VZ}[/tex] is congruent to [tex]\overline {YZ}[/tex] by the Congruent Parts of Congruent Triangle are Congruent (CPCTC) postulate.

Jo Beth organizes 63 party favors into gift bags.
She places the same number of favors in each
bag. How could she arrange the favors?

Answers

Answer:

She had 9 gift bags

Step-by-step explanation:

if we divide 63 by 7 we get 9

now, if we take 9 and call that our bags that means there will be 7 party favors in each bag

f (x) = -x² + 6x - 18


Find f (-3)

Answers

Answer:

-45

Step-by-step explanation:

Given

f (x) = -x² + 6x - 18

To find f (-3) substitute x with -3

f(-3) = -(-3)² + 6(-3) - 18 = - 9 - 18 - 18 = -45f(-3) = -45

Step-by-step explanation:

[tex]f(x) = - {x}^{2} + 6x - 18 \\ f( - 3) = - {( - 3)}^{2} + 6( - 3) - 18 \\ = - 9 - 18 - 18 \\ = - 45[/tex]

-45 is the right answer.

(this is a rhombus btw) for what value of x is the figure the given special parallelogram? HELP PLS, show work.

Answers

Answer:

x = 2 or 3

Step-by-step explanation:

Diagonal of a rhombus bisects the vertex angles. So,

[tex]x^{2} =5x-6[/tex]

[tex]=> x^{2} -5x + 6 = 0[/tex]

Lets factorise the eqn.

[tex]=> x^{2} - 2x - 3x + 6 = 0[/tex]

[tex]=> x (x - 2) -3(x-2)[/tex]

[tex]=> (x-2)(x-3) = 0[/tex]

Here x will have 2 values.

1) [tex]x-2=0[/tex]

[tex]=> x =2[/tex]

2) [tex]x - 3 = 0[/tex]

[tex]=> x = 3[/tex]

What property is represented?
40 + 0 = 40
• identity
• inverse
• associative
• commutative

Answers

Identity property!

Because the identity property for addition tells us that zero added to any number is the number itself. Zero is called the "additive identity." In this case, 0 is being added to 40.

Kai marked up the new Kobe Grinch by 35% .She sole them for $168.75 . What was the original price

Answers

Answer: 109.69

Step-by-step explanation:

100-35=65

168.75 • 65= 10,968.75/ 100= 109.69

Element X decays radioactively with a half life of 13 minutes. If there are 830 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 20 grams?

Answers

Answer:

26.92 min

if I'm not wrong!

Simplify the algebraic expression.

–9(–8p + 12) – 6p

Answers

Answer:

66+12

Step-by-step explanation:

simplified answer

Step-by-step evaluation:

-9(-8p + 12) - 6p

-9 x -8p = 72p   -9 x 12 = -108

(72p + -108) - 6p

72p + -108 - 6p

(72p + −6p) + (−108)

66p + −108

Answer:

66p−108

What type of number is v64?
Choose all answers that apply:
A)Whole number
B) Integer
c Rational d) irrational

Answers

√64 = 88 is whole number , integer ,natural number but all these combined form rational numberso the answer is rational number

The correct answers are A) Whole number, B) Integer, and C) Rational.

The number √64 is equal to 8. It satisfies the condition √64 = 8 because 8 multiplied by itself (8 x 8) equals 64.

Based on the options provided, the correct answers are:

A) Whole number: Yes, √64 is a whole number. Whole numbers are non-negative integers, and 8 is a non-negative integer.

B) Integer: Yes, √64 is an integer. Integers are numbers that can be positive, negative, or zero without any fractional or decimal parts. In this case, 8 is a positive integer.

C) Rational: Yes, √64 is a rational number. Rational numbers can be expressed as a fraction p/q, where p and q are integers, and q is not zero. The square root of 64 can be written as 8/1, which is a fraction where both the numerator and denominator are integers.

D) Irrational: No, √64 is not an irrational number. Irrational numbers cannot be expressed as fractions and have an infinite non-repeating decimal expansion. However, √64 is a terminating decimal, as it equals 8, which means it is not an irrational number.

Therefore, the correct answers are A) Whole number, B) Integer, and C) Rational.

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Translate the following phrase into an expression:
“ the sum of an unknown number and 12”

Answers

Answer:

French: la somme d'un nombre inconnu et 12

Spanish: la suma de un número desconocido y 12

Latin: XII numerus ignotus est et summa

Step-by-step explanation:

I forgot what a multiple is. Can someone please tell me.

Answers

Answer:

a number that can be divided by another number without a remainder.

Answer:

A multiple is a number that basically can be a number that can be divided by another number without a remainder.

Round your answer to the nearest hundredth AB=

Answers

Step-by-step explanation:

[tex] \sin(20) = 3 \div x[/tex]

Multiply both sides with x :

[tex] x \times \sin(20) = 3[/tex]

And divide both sides with sin(20) :

[tex]x = 3 \div \sin(20) = 8.771[/tex]

Which gives us x=8,771

Answer:

AB = 6

Step-by-step explanation:

sin 20° = 3/?

[tex]\frac{1}{2}[/tex] = [tex]\frac{3}{x}[/tex]

cross-multiply: x = 6

What is the missing step in this proof?

Answers

The correct answer is B.

Don’t mind me: i is not going anywhere anymore anymore because he doesn’t want me anymore and he is still dead and i is not a bad guy and i just said that he’s a good

Select all the numbers that show 4% as an equivalent fraction, decimal, or percent.
[] 0.04
[] 40%
[] 10
[] 4
[] 100
[] 0.4

Answers

Answer:

Step-by-step explanation:

0.04

All the numbers that show 4% as an equivalent fraction, decimal or percent from the listed options are:

In fraction: [tex]4\% = \dfrac{4}{100}[/tex]In decimal: [tex]4\% = 0.04[/tex]

How to convert percent to fraction and decimal?

Percent counts the number compared to 100.

So, if we have a%, that means for each 100, there are 'a' parts. If we divide each of them with 100, we get:

For each 1, there are a/100 parts.

Thus, 50% = 50/100 = 0.50 (in decimal)

For this case, the percent we have is 4%

That shows that for each 100 items, we have 4 of them. This can be written in fraction as 4/100

Solving this division, we get the result in decimal as 0.04

Thus, all the numbers that show 4% as an equivalent fraction, decimal or percent from the listed options are:

In fraction: [tex]4\% = \dfrac{4}{100}[/tex]In decimal: [tex]4\% = 0.04[/tex]

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