Question 1014654
This problem has one of the ugliest answers I have seen.
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15x-4y=6
9x+2y=7 Multiply both sides times 2 and subtract from above:
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15x-4y=6
18x+4y=14 
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33x = 20
x= 20/33
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Now solve for y
15x-4y=6 Multiply all times -3
9x+2y=7 Multiply all times 5
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-45x+12y= -18
45x+10y= 35
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22y= 17
y= 17/22
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So there you have it:
x= 20/33
y= 17/22