Solve for x
x=5y-23
Solve for y
y=\frac{x+23}{5}
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y-5=\frac{1}{5}x-\frac{2}{5}
Use the distributive property to multiply \frac{1}{5} by x-2.
\frac{1}{5}x-\frac{2}{5}=y-5
Swap sides so that all variable terms are on the left hand side.
\frac{1}{5}x=y-5+\frac{2}{5}
Add \frac{2}{5} to both sides.
\frac{1}{5}x=y-\frac{23}{5}
Add -5 and \frac{2}{5} to get -\frac{23}{5}.
\frac{\frac{1}{5}x}{\frac{1}{5}}=\frac{y-\frac{23}{5}}{\frac{1}{5}}
Multiply both sides by 5.
x=\frac{y-\frac{23}{5}}{\frac{1}{5}}
Dividing by \frac{1}{5} undoes the multiplication by \frac{1}{5}.
x=5y-23
Divide y-\frac{23}{5} by \frac{1}{5} by multiplying y-\frac{23}{5} by the reciprocal of \frac{1}{5}.
y-5=\frac{1}{5}x-\frac{2}{5}
Use the distributive property to multiply \frac{1}{5} by x-2.
y=\frac{1}{5}x-\frac{2}{5}+5
Add 5 to both sides.
y=\frac{1}{5}x+\frac{23}{5}
Add -\frac{2}{5} and 5 to get \frac{23}{5}.
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