Question

Solve each system by elimination.

3x-4y=-2
3y-2x=1

Answer 1

y = -1, x = -2

Explanation:

First, multiply the top equation by 2 to make 3x become 6x:

6x - 8y = -4

Second, multiply the bottom equation by 3 to make -2x become -6x:

9y - 6x = 3

Add the two equations together, and you get:

y = -1

Plug in y as -1 into the first or second equation:

3x - 4(-1) = -2

OR

3(-1) - 2x = 1

x = -2