Question 654837
10x-10y=0
 5x-4y=8
Multiply the bottom equation by -2: -10x+8y=-16.
Now add this second equation to the first one:
  10x-10y = 0
 -10x+ 8y =-16
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    0-2y = -16, so y=8
Stick this value for y back in one of the original equations to solve for x:
10x-10(8)=0, 10x-80=0, 10x=80, x=8

Hope this helps! =)