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Since the second equation is already solved for x, we can substitute its right hand side for x in the first equation and get a new equation involving only y:
(substituting 61 - 9y for x)
Now we solve for y:
(distributing 5 on the left side)
(combining like terms)
(subtracting 305 from both sides)
(divide both sides by -43)
So y = 7. To get x, we now substitute 7 for x in the first equation:
SO our solution is x = -2 and y = 7. Let's check this. For the first equation, we get
so that works. For the second equation, we get:
which also works. So x = -2 and y = 7 is the correct solution.