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First get y in terms of x: 5x-2y=-12 ----- -2y=-12-5x ------ y=6+(5/2)x

Sub into other equation: 2x+3y=-1 ---- 2x+3(6+(5/2)x)=-1

Solving for x gets: x= -2

Sub into other equation: 5x-2y= -12 --- 5(-2)-2y= -12 --- y=1

So x= -2, and y= 1

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Q: Solve the following system of equations using substitutions 2x plus 3y equals -1 and 5x-2y equals -12?
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