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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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Q: 2x plus 3y equals -1 5x-2y equals -12?
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