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) (Show Source): You can put this solution on YOUR website!
Solve by elimination method
:
x - 4y = -3
x - y =
:
Get rid of those annoying fractions,
multiply the 1st equation by 2, results:
9x - 2(4y) = 2(-3)
9x - 8y = -6
:
Multiply the 2nd by 6; results
2(4x) - 3y = 7
8x - 3y = 7
:
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 =
x = 2
:
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
:
:
Check solution in the 2nd original equation
x - y =
(2) - (3) =
- =
- =
:
:
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