Answer:
x=12/17, y=59/34. (12/17, 59/34).
Explanation:
5x+2y=7
-2x+6y=9
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-3(5x+2y)=-3(7)
-2x+6y=9
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-15x-6y=-21
-2x+6y=9
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-17x=-12
17x=12
x=12/17
5(12/17)+2y=7
60/17+2y=7
2y=7-60/17
2y=119/17-60/17
2y=59/17
y=(59/17)/2
y=(59/17)(1/2)
y=59/34