Answer:
x = 6
y = 2
Step-by-step explanation:
To solve the system using elimination, we need to multiply the second equation by -1, so the second equation is equivalent to:
x - 9y = -12
-1 (x - 9y) = -1 (-12)
-x + 9y = 12
Then, we can sum this equation and the first equation. So:
5x - 9y = 12
-x + 9y = 12
4x + 0 = 24
So, we can solve for x, as:
4x = 24
4x/4 = 24/4
x = 6
Then, we can replace x by 6 on the first equation and solve for y, so:
5x - 9y = 12
5(6) - 9y = 12
30 - 9y = 12
30 - 9y - 30 = 12 - 30
-9y = -18
-9y/(-9) = -18/(-9)
y = 2
Therefore, the solution of the system is x = 6 and y = 2