Answer:
(x, y) = (4, -9)
Step-by-step explanation:
You want to solve this system of equations by elimination:
The coefficients of x are not integer multiples of each other, but the coefficient of y in the first equation is 4 times the coefficient in the second equation. To eliminate y, we can multiply the second equation by -4 and add the result to the first equation:
(-8x -4y) -4(-5x -y) = (4) -4(-11)
12x = 48
x = 4
Using the second equation to find y, we have ...
-5x +11 = y
-5(4) +11 = -9 = y
The solution is (x, y) = (4, -9).
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