Arthur D. answered 12/16/14
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5x+4y=-1
-7x-2y=-13
multiply second equation by 2
-14x-4y=-26
add the first and the new second equations
-9x=-27
x=-27/-9
x=3
substitute x=3 into either original equation
5(3)+4y=-1
15+4y=-1
4y=-1-15
4y=-16
y=-16/4
y=-4
x=3 and y=-4