Solve the system using the substitution method

x = -6y - 4
6x - 12y = 24

Answers

Answer 1

Answer:

x = 2, y = -1

Step-by-step explanation:

We have a solution system, x = -6y - 4 and 6x - 12y = 24.

Now, since are not only asked to use the substitution method, but at the same time know the value of x, let's plug the first system into the second.

x = -6y - 4

6(-6y - 4) - 12y = 24

-36y - 24 - 12y = 24

-48y - 24 = 24

Add 24 to both sides :

-48y = 48

Divide -48 by both sides :

y = -1

Now that we have y, we can replace it into the second system again to get x.

6x - 12(-1) = 24

6x + 12 = 24

Solve for x by first getting rid of 12 from both sides :

6x = 12

Divide 6 by both sides :

x = 2

Therefore, x = 2 and y = -1


Related Questions

010. Tyler's brother works in a shoe store. Tyler's brother earns a commission. He
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much was his commission?

PLSS I NEED HELP

Answers

Answer:

$20

Step-by-step explanation:

800 × 2.5% = $20

Glad I could help!

1/4 divided by 3 1/2

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Answer:

1/14

Step-by-step explanation:

dont really know how to explain... just make sure to change both to a common denominator

Answer:

1/14

Step-by-step explanation:

What is the Circumference of the circle below? (Use 3 for π)

Answers

Answer: The circumference of this circle with 3 for pi is 108 m.

Step-by-step explanation: The formula for the circumference of a circle is 2 pi r. So, plug in the values. 2 x 3 x 18 is equal to 108. Therefore, the circumference of this circle is 108 m.

'Nine less than the product of four and a number

Answers

Answer:

(4 x X)-9

Step-by-step explanation:

I think this is correct pls tell me if this is wrong  

Hope this helps

The algebraic expression of Nine less than the product of four and a number is 4x-9.

What is Expression?

An expression is combination of variables, numbers and operators.

The given sentence is 'Nine less than the product of four and a number.

We need to write this sentence as an algebraic expression.

We know that less than means there we used subtraction.

Product in the sentence means multiplication.

Let us consider x as the unknown number in the given expression.

the product of four and a number means four is multiplied with x. which is 4x.

Nine less than the product of four and a number

4x-9

Hence, the algebraic expression of Nine less than the product of four and a number is 4x-9.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

What is equivalent to 3;4

Answers

Answer:

6;8

3;4 that the lowest that it can go. the equivalent is 6;8 but if you want to change it into decimal form you can divide by two which is 1.5;2 but the answer is 6;8 because 3;4 is already in it's lowest form, or is already simplified to it's maximum extent.

If I sell all 80 tickets, I will have completed Il
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Answers

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Answers

Answer:

3/4

Step-by-step explanation:

Answer: it would be 3/4 hope this helps you!!!

Step-by-step explanation:

ten to the power of 8

Answers

Answer:

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Step-by-step explanation:

What’s the closets fraction to 1/2

Answers

Answer:

1/2 2/4 3/6

Step-by-step explanation:

Answer:

7/13

Step-by-step explanation:

if 1/26 is closest to zero then 7/13 is closer to 1/2

Arthur walked 6 kilometers around the park, and D.W. sprinted 200 m at the park. How many meters did they travel in total?

Answers

Answer:

6200 meters

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer should be 6200

What is the relation of the slopes of perpendicular lines or segments?
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B) both positive
C)opposite reciprocals
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Answers

Answer:

C

Step-by-step explanation:

In elementary geometry, the property of being perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees). The property extends to other related geometric objects.

Answer: D both negative

Step-by-step explanation:

PLEASE HELP NEED IT ASAP!!! FOR A UNIT TEST!!!
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Answers

Y=1/2x+7 because you flip the sign and the numbers on the fraction for the slope then solve for the y-not

Answer:

Y=1/2x+7

Step-by-step explanation:

A bag of apples weighs 7kg, correct to
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What is the least possible weight of the
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Answers

i’m pretty sure it’s 6.5kg because if it was any less than that (eg 6.4kg) it would be rounded down to six rather than being rounded up to seven

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Answers

4 bc .75 x4 is 3 the answer is 4

Answer:

4

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divide 3 by point seven five

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Answers

Answer:

1 cm = 4 km.

Step-by-step explanation:

I think you want the scale of the map.

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Answers

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The population of Buhlerville is 92,000 in 2019. The population of the city was 94880 in 2021. What is the
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Answers

Answer:

96320

Step-by-step explanation:

The population of Buhlerville will be 96320

In AGHI, GI is extended through point I to point J, mZGHI = (2x - 3)º,
mZIGH = (2x + 15)°, and m_HIJ = (7x – 18)'. Find mZGHI.

Answers

Answer:

m<GHI = 17°

Step-by-step explanation:

m<GHI = (2x - 3)°

m<IGH = (2x + 15)°

m<HIJ = (7x - 18)°

<HIJ is an exterior angle of ∆GHI

<GHI and <HIJ are both interior angles of ∆GHI that are opposite to the exterior angle.

Therefore, based on the exterior angle theorem of a triangle, we would have the following equation:

m<GHI + m<IGH = m<HIJ

(2x - 3)° + (2x + 15)° = (7x - 18)° (substitution)

Solve for x

2x - 3 + 2x + 15 = 7x - 18

Add like terms

4x + 12 = 7x - 18

4x - 7x = -12 - 18

-3x = -30

Divide both sides by -3

x = 10

✔️m<GHI = (2x - 3)°

Plug in the value of x

m<GHI = 2(10) - 3 = 20 - 3

m<GHI = 17°

Let ∠1, ∠2, and ∠3 have the following relationships.
I WILL GIVE 20 POINTS PLS
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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

3.
The students in a class were surveyed to find out how many people live in their households.
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Answers

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Step-by-step explanation:

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Answers

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Work shown in picture

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Answer:

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Step-by-step explanation:

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Answer:

ok

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hmm

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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