Question

(pls im so slow someone help)

Solve the system of linear equations by elimination.

x - 2y = -3

2x + 2y = 12

Answer 1

(x, y) = (3, 3)

Explanation:

`x - 2y = - 3 \\ 2x + 2y = 12 \\`

To apply the method of elimination, you must add the 2 equation if one of the variables is cancelled out. Luckily, the equations are already in a form where we can add them and y will be cancelled out.

`(x - 2y) + (2x + 2y) = - 3 + 12`

`3x = 9`

`x = 3`

Then we replace x on any equation to find y

`x - 2y = - 3 \\ 3 - 2y = - 3 \\ - 2y = - 6 \\ y = 3`

so the solution is

x = 3 and y = 3