Solve for x
x=\frac{9\left(y+5\right)}{5}
Solve for y
y=\frac{5\left(x-9\right)}{9}
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-45+5x=9y
Swap sides so that all variable terms are on the left hand side.
5x=9y+45
Add 45 to both sides.
\frac{5x}{5}=\frac{9y+45}{5}
Divide both sides by 5.
x=\frac{9y+45}{5}
Dividing by 5 undoes the multiplication by 5.
x=\frac{9y}{5}+9
Divide 45+9y by 5.
9y=5x-45
The equation is in standard form.
\frac{9y}{9}=\frac{5x-45}{9}
Divide both sides by 9.
y=\frac{5x-45}{9}
Dividing by 9 undoes the multiplication by 9.
y=\frac{5x}{9}-5
Divide -45+5x by 9.
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