SOLUTION: Good Evening! I am trying to solve the following by elimination: {9/2x+1/2y=17/2 {x-5/2y=9/2 Thanks! Jim

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Good Evening! I am trying to solve the following by elimination: {9/2x+1/2y=17/2 {x-5/2y=9/2 Thanks! Jim      Log On


   



Question 387179: Good Evening!
I am trying to solve the following by elimination:
{9/2x+1/2y=17/2
{x-5/2y=9/2
Thanks!
Jim

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
solve the following by elimination:
{9/2x+1/2y=17/2
{x-5/2y=9/2
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Multiply thru each equation by 2 to get rid of the denominators:
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9x + y = 17
2x -5y = 9
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Multiply thru the 1st by 5:
45x + 5y = 85
2x - 5y = 9
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Add and solve for "x":
47x = 94
x = 2
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Substitute into 2x - 5y = 9 and solve for "y":
2*2-5y = 9
-5y = 5
y = -1
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Solvution : (2,-1)
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Cheers,
Stan H.
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