2x - 5y = -5
x + 2y = 11
Multiply the second equation by -2 and add to the first equation. This eliminates x, and we solve for y.
2x - 5y = -5
-2x - 4y = -22
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-9y = -27
y = 3
Now substitute y = 3 in the second original equation and solve for x.
x + 2(3) = 11
x + 6 = 11
x = 5
Solution: x = 5 and y = 3