SOLUTION: Solve by elimination method 9/2x-4y=-3 4/3x-1/2y=7/6

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Question 274864: Solve by elimination method
9/2x-4y=-3
4/3x-1/2y=7/6

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Solve by elimination method
:
9%2F2x - 4y = -3
4%2F3x - 1%2F2y = 7%2F6
:
Get rid of those annoying fractions,
multiply the 1st equation by 2, results:
9x - 2(4y) = 2(-3)
9x - 8y = -6
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Multiply the 2nd by 6; results
2(4x) - 3y = 7
8x - 3y = 7
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Use elimination on these two equations:
9x - 8y = -6
8x - 3y = 7
:
Multiply the 1st equation by 3, multiply the 2nd equation 8:
27x - 24y = -18
64x - 24y = 56
--------------------- subtraction eliminates y, find x
-37x + 0 = -74
Multiply by -1 to get rid of the negative
37x = 74
divide both sides by 37
x = 74%2F37
x = 2
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Find y using the equation: 9x - 8y = -6
9(2) - 8y = -6
18 - 8y = -6
-8y = -6 - 18
-8y = -24
y = 24/8
y = +3
:
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Check solution in the 2nd original equation
4%2F3x - 1%2F2y = 7%2F6
4%2F3(2) - 1%2F2(3) = 7%2F6
8%2F3 - 3%2F2 = 7%2F6
16%2F6 - 9%2F6 = 7%2F6
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