Question 757690: 1/2x+2/3y=32
1/4x-5/9y=40
solve using the substitution method
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 1/2x+2/3y=32
1/4x-5/9y=40
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1st get rid of those fractions:
3x + 4y = 6*32
9x - 20y = 36*40
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Solve for "y":
y = (-3/4)x + 48
y = (9/20)x - 72
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Now, substitute and solve for "x"
(-3/4)x + 48 = (9/20)x - 72
[(9/20)+(3/4)]x = 120
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(24/20)x = 120
(6/20)x = 30
x = 100
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Solve for "y":
y = (9/20*100 - 72
y = 45-72
y = -27
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Cheers,
Stan H.
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