Solve for x
x=\frac{y+12}{y}
y\neq 0
Solve for y
y=\frac{12}{x-1}
x\neq 1
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xy-y=12
Use the distributive property to multiply x-1 by y.
xy=12+y
Add y to both sides.
yx=y+12
The equation is in standard form.
\frac{yx}{y}=\frac{y+12}{y}
Divide both sides by y.
x=\frac{y+12}{y}
Dividing by y undoes the multiplication by y.
\frac{\left(x-1\right)y}{x-1}=\frac{12}{x-1}
Divide both sides by x-1.
y=\frac{12}{x-1}
Dividing by x-1 undoes the multiplication by x-1.
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