Question 79277
(7/2)X + (5/4)Y = 4
(5/6)X - 2Y = 21 
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Multiply thru 1st be 8 and 2nd by 6 to get:
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28x + 10y = 32
5x  - 12y = 126
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Divide thru 1st be 2 to get:
14x + 5y = 16
5x  - 12y = 126
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Multiply 1st by 5 and 2nd by 14 so you can get rid of the x terms:
70x + 25y = 80
70x - 168y = 1764
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Subtract 1st from 2nd to get:
-193y = 1684
y = -8.7254
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Go back two steps:
Multiply 1st by 12 and 2nd by 5 to get rid of the y terms:
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168x + 60y = 192
25x  - 60y = 630
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Add to get rid of the y-terms and to solve for "x":
193x = 822
x= 4.2591
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Cheers,
Stan H.