389,612 views
45 votes
45 votes
Solve this system of equations.

2x + 6y = −6,

4x − 3y = −12


What is the solution to the system of equations?

(
,
)

User Zero Live
by
2.8k points

2 Answers

21 votes
21 votes

Answer:

-3,0

Step-by-step explanation:

edge 2021 assingment for last lesson

User Jthompson
by
2.5k points
18 votes
18 votes

Answer:

(-3, 0)

Step-by-step explanation:

(Just wanted to give you a heads up that you posted this under the English category.)

We can solve this system by elimination. Let's multiply the first equation by two and keep the second equation the same to get the same first term:

4x + 12y = -12

4x - 3y = -12

We can now subtract the two equations to isolate the y term:

4x - 4x = 0

12y - (-3y) = 15y

-12 - (-12) = 0

We then get the equation: 15y = 0

Solve for y by diving both sides by 15; we get y = 0.

Now we can choose either equation in the system and plug in y, and then solve for x:

2x + 6(0) = -6

2x = -6

x = -3

Our answer is (-3, 0).

We can also check our answer by plugging it in the other equation:

4(-3) - 3(0) = -12

-12 - 0 = -12

Since this equation is true, our answer is correct and solves this system.

User Malla
by
2.9k points