Solve for x
x=10y-2
Solve for y
y=\frac{x+2}{10}
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\frac{1}{5}x=-\frac{2}{5}+2y
Add 2y to both sides.
\frac{1}{5}x=2y-\frac{2}{5}
The equation is in standard form.
\frac{\frac{1}{5}x}{\frac{1}{5}}=\frac{2y-\frac{2}{5}}{\frac{1}{5}}
Multiply both sides by 5.
x=\frac{2y-\frac{2}{5}}{\frac{1}{5}}
Dividing by \frac{1}{5} undoes the multiplication by \frac{1}{5}.
x=10y-2
Divide -\frac{2}{5}+2y by \frac{1}{5} by multiplying -\frac{2}{5}+2y by the reciprocal of \frac{1}{5}.
-2y=-\frac{2}{5}-\frac{1}{5}x
Subtract \frac{1}{5}x from both sides.
-2y=\frac{-x-2}{5}
The equation is in standard form.
\frac{-2y}{-2}=\frac{-x-2}{-2\times 5}
Divide both sides by -2.
y=\frac{-x-2}{-2\times 5}
Dividing by -2 undoes the multiplication by -2.
y=\frac{x}{10}+\frac{1}{5}
Divide \frac{-2-x}{5} by -2.
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