Answer:
(x, y) = (3, 3)
Step-by-step explanation:
[tex]x - 2y = - 3 \\ 2x + 2y = 12 \\ [/tex]
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.
[tex](x - 2y) + (2x + 2y) = - 3 + 12[/tex]
[tex]3x = 9[/tex]
[tex]x = 3[/tex]
Then we replace x on any equation to find y
[tex]x - 2y = - 3 \\ 3 - 2y = - 3 \\ - 2y = - 6 \\ y = 3[/tex]
so the solution is
x = 3 and y = 3
