Add the 2 equations to eliminate the y variable:
4x + y = -11
+ 3x - y = -3
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7x + 0 = -14
7x = -14
x = -2
To find y, plug x = -2 into either original equation and solve for y:
3x - y = -3
3(-2) - y = -3
-6 - y = -3
-3 = y
Check:
4x + y = -11
4(-2) + (-3) = -11
-8 - 3 = -11
-11 = -11 Check!
3x - y = -3
3(-2) - (-3) = -3
-6 + 3 = -3
-3 = -3 Check!
