Solve for s
s=\frac{8x-20y+2005}{3}
Solve for x
x=\frac{3s}{8}+\frac{5y}{2}-\frac{2005}{8}
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3s+20y-x=2005+7x
Multiply 2 and 10 to get 20.
3s-x=2005+7x-20y
Subtract 20y from both sides.
3s=2005+7x-20y+x
Add x to both sides.
3s=2005+8x-20y
Combine 7x and x to get 8x.
3s=8x-20y+2005
The equation is in standard form.
\frac{3s}{3}=\frac{8x-20y+2005}{3}
Divide both sides by 3.
s=\frac{8x-20y+2005}{3}
Dividing by 3 undoes the multiplication by 3.
3s+20y-x=2005+7x
Multiply 2 and 10 to get 20.
3s+20y-x-7x=2005
Subtract 7x from both sides.
3s+20y-8x=2005
Combine -x and -7x to get -8x.
20y-8x=2005-3s
Subtract 3s from both sides.
-8x=2005-3s-20y
Subtract 20y from both sides.
\frac{-8x}{-8}=\frac{2005-3s-20y}{-8}
Divide both sides by -8.
x=\frac{2005-3s-20y}{-8}
Dividing by -8 undoes the multiplication by -8.
x=\frac{3s}{8}+\frac{5y}{2}-\frac{2005}{8}
Divide 2005-3s-20y by -8.
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