Question

Solve the system of linear equations by elimination.
3x+4y=-1
-2x-5y=10

Answer 1

x = 5

y = -4

Explanation:

3x+4y = -1

-2x-5y = 10

We time the first equation by 2 and the second equation by 3

6x + 8y = -2

-6x -15y = 30

-7y = 28

y = -4

Now put -4 back in for y and solve for x

3x+4(-4) = -1

3x - 16 = -1

3x = 15

x = 5

Let's check

3(5) + 4(-4) = -1

15 - 16 = -1

-1 = -1

So, x = 5 & y = -4 is the correct answer.