Solve for x
x=\frac{y+5}{5}
Solve for y
y=5\left(x-1\right)
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-10x+2y=-10
Swap sides so that all variable terms are on the left hand side.
-10x=-10-2y
Subtract 2y from both sides.
-10x=-2y-10
The equation is in standard form.
\frac{-10x}{-10}=\frac{-2y-10}{-10}
Divide both sides by -10.
x=\frac{-2y-10}{-10}
Dividing by -10 undoes the multiplication by -10.
x=\frac{y}{5}+1
Divide -10-2y by -10.
-10x+2y=-10
Swap sides so that all variable terms are on the left hand side.
2y=-10+10x
Add 10x to both sides.
2y=10x-10
The equation is in standard form.
\frac{2y}{2}=\frac{10x-10}{2}
Divide both sides by 2.
y=\frac{10x-10}{2}
Dividing by 2 undoes the multiplication by 2.
y=5x-5
Divide -10+10x by 2.
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