Solve for x
x=5y-2
Solve for y
y=\frac{x+2}{5}
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y=\frac{1}{5}x+\frac{2}{5}
Divide each term of x+2 by 5 to get \frac{1}{5}x+\frac{2}{5}.
\frac{1}{5}x+\frac{2}{5}=y
Swap sides so that all variable terms are on the left hand side.
\frac{1}{5}x=y-\frac{2}{5}
Subtract \frac{2}{5} from both sides.
\frac{\frac{1}{5}x}{\frac{1}{5}}=\frac{y-\frac{2}{5}}{\frac{1}{5}}
Multiply both sides by 5.
x=\frac{y-\frac{2}{5}}{\frac{1}{5}}
Dividing by \frac{1}{5} undoes the multiplication by \frac{1}{5}.
x=5y-2
Divide y-\frac{2}{5} by \frac{1}{5} by multiplying y-\frac{2}{5} by the reciprocal of \frac{1}{5}.
y=\frac{1}{5}x+\frac{2}{5}
Divide each term of x+2 by 5 to get \frac{1}{5}x+\frac{2}{5}.
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