<PRE><B>Question 930458</B>
6/x - 3/y = -4
9/x + 9/y = 21
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6y/xy - 3x/xy = -4
6y - 3x = -4xy
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9/x + 9/y = 21
9y/xy + 9x/xy = 21
9y + 9x = 21xy
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6y - 3x = -4xy
9y + 9x = 21xy
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21(6y - 3x = -4xy)
4(9y + 9x = 21xy)
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21*6y - 21*3x = -21*4xy
4*9y + 4*9x = 4*21xy
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add the two equations:
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21*6y + 4*9y - 21*3x + 4*9x = 0
(21*6 + 4*9)y - (21*3 + 4*9)x = 0
162y - 99x = 0
162y = 99x
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answer:
y = (99/162)x
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