Question 957804: Solve the following equation
2/x-7/y=9/10
5/x+4/y=-41/20
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Solve the following system of equations::
2/x-7/y=9/10
5/x+4/y=-41/20
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Let X = 1/x
Let Y = 1/y
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2X - 7Y = 9/10
5X + 4Y = -41/20
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Modify for elimination::
10X - 35Y = 45/10
10X + 8Y = -82/20
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Subtract and sove for "Y":
43Y = -82/20-90/20
43Y = -172/20
Y = -4/20 = -1/5
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Solve for "X":
2X - 7Y = 9/10
2X -(7(-1/5) = 9/10
2X + 14/10 = 9/10
2X = -1/2
X = -1/4
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Since X = 1/x, x = -4
Since Y = 1/y, y = -5
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Cheers,
Stan H.
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