2x+3y=-1 and 5x-2y=-12
3y=-2x-1 and -2y=-5x-12
y=(-2/3)x-1/3 and y=(5/2)x+6
Substitute the first value of y into the second equation
(-2/3)x-1/3=(5/2)x+6
(-19/6)x=19/3
x=-2
Plug this value of x into the first equation
2(-2)+3y=-1
-4+3y=-1
3y=3
y=1
Check your results by plugging x=-2 and y=1 into the second equation
5(-2)-2(1)=-12
-10-2=-12
-12=-12
This is correct, so the final answer is x=-2 and y=1
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