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

Can someone help me with this equation.

Answers

Answer:

use photomath

Step-by-step explanation:

it's really easy just simply download it then scan your problem

Answer:

use photo math

Step-by-step explanation:

it helps a lot!

If I sell all 80 tickets, I will have completed Il
% of my goal.

Answers

100% cause u sold all the tickets

ten to the power of 8

Answers

Answer:

000000000

Step-by-step explanation:

you spin the spinner below once: what is the P(getting a number less than 5)?

Answers

Answer:

3/4

Step-by-step explanation:

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

Step-by-step explanation:

I REALLY NEED HELP ITS WORTH 30 POINTS

Answers

Answer:

1) x < 30

2) x > 20

3) x >= 250

4) x > 20

5-10) I cant see the numbers on the graph

Step-by-step explanation:

Answer:

For the graphs you have to basically make those words into a mathematical equation to make more sense like for the first problem in which..

x>30

remember, open circles mean that its it can't be greater for symbols like < and >

closed circles are for inequalities that are greater than or equal to or less than or equal to which are these symbols: ≤ and ≥

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°

0.75 times what equals 3

What is the answer

Answers

4 bc .75 x4 is 3 the answer is 4

Answer:

4

3/.75=4

divide 3 by point seven five

1/4 divided by 3 1/2

Answers

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 m/a
side a
side b

Answers

side b side b side b side b

Can someone help me please it’s urgent what’s the answer or property of c?

Answers

Answer:

Associative property

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

f(x) = x^2 -2x -3 /x-3 identify the discontinuity

Answers

Answer:

Step-by-step explanation:

Again, parentheses would help with clarity. f(x) = (x^2-2x-3)/(x-3)

The denominator is x-3. Division by 0 is undefined, so x ≠ 3.

'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.

The population of Buhlerville is 92,000 in 2019. The population of the city was 94880 in 2021. What is the
expected population in 2022?

Answers

Answer:

96320

Step-by-step explanation:

The population of Buhlerville will be 96320

What is the relation of the slopes of perpendicular lines or segments?
A) congruent
B) both positive
C)opposite reciprocals
D)both negative

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:

The distance around a lake is 8km on a map this distance around the lake is represented by 2 cm The on the map is what

Answers

Answer:

1 cm = 4 km.

Step-by-step explanation:

I think you want the scale of the map.

It is  1 cm = 8/2 = 4 km.

Let ∠1, ∠2, and ∠3 have the following relationships.
I WILL GIVE 20 POINTS PLS
∠1 and ∠2 are adjacent right angles.
∠1 and ∠3 are vertical angles.
What is the measure of ∠1 plus the measure of ∠3 minus the measure of ∠2?

Answers

Answer: If 1 and 2 are adjacent right angles, they are both 90º.

1 and 3 are vertical, which means they must be congruent, so 3 is also 90º

So: 90 + 90 - 90 = 90

Step-by-step explanation:

I will give someone 100 points if they give me a brainliest

Answers

Answer:

ok

but why?

hmm

i dont get it , you will give someone 100 points for brainlist ? just answer someone’s question and ask for brainliest

010. Tyler's brother works in a shoe store. Tyler's brother earns a commission. He
makes 2.5% of the amount he sells. Last week, he sold $800 worth of shoes. How
much was his commission?

PLSS I NEED HELP

Answers

Answer:

$20

Step-by-step explanation:

800 × 2.5% = $20

Glad I could help!

3.
The students in a class were surveyed to find out how many people live in their households.
The results of the survey are shown in the dot plot below.


Number of People in Household
What percent of the class has a household of 7 or 8 people?

Answers

Answer:

it is number 4

Step-by-step explanation:

in which table is y a linear near function of x will mark brainest​

Answers

possibly c, I'm not that good with math

pls give brainliest

Slope please help me find it need done today

Answers

Answer:

5. - 1/9

6. 4

7. 5

8. 5

Step-by-step explanation:

PLEASE HELP NEED IT ASAP!!! FOR A UNIT TEST!!!
Write the slope-intercept equation for the line that is perpendicular to:
y = -2x + 3 and passes through (-4, 5)

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:

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

3. Find the missing side length
of the right triangle below.

Answers

The length of the last side is 13.416, I am not sure what you need to round your numbers to but you can round it to whatever you teacher wants.
Work shown in picture

I need help pleaseeeee

Answers

Answer:

The value will be positive because there are five minus signs which means negative but the there are two minus before the biggest number which means positive.

help find the radius

Answers

Answer:

12.5

Step-by-step explanation:

the radius of a circle is half of the diameter

A bag of apples weighs 7kg, correct to
the nearest kilogram.
What is the least possible weight of the
bag of apples?

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

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.

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