SOLUTION: I need help with the Elimination method and the problem is 4x-8y=8 ad -10x+8y=28

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Question 994388: I need help with the Elimination method and the problem is 4x-8y=8
ad -10x+8y=28

Found 2 solutions by stanbon, Boreal:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
need help with the Elimination method and
the problem is 4x-8y=8
and -10x+8y=28
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Simplify the equations:
x - 2y = 2
-5x + 4y = 14
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Multiply thru the top equation by 5 to get:
5x - 10y = 10
-5x + 4y = 14
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Add the equations and solve for "y"::
-6y = 24
---
y = -4
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Solve for "x":
x - 2y = 2
x - 2*-4 = 2
x + 8 = 2
x = -6
---------------
Cheers,
Stan H.
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Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
4x-8y=8
-10x+8y=28
========
Eliminate the y by adding the equations together. Notice that the -8y +8y=0, so the resulting equation will not have y. It will have been eliminated.
-6x=36
x= -6
y:--24-8y=8
-8y=-32
y= -4
=====
Check with second equation
-10(-4) + 8 (-2)
40-16=24
(-6,-4)