Solve for x
x=\frac{y+2}{y}
y\neq 0
Solve for y
y=\frac{2}{x-1}
x\neq 1
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y\left(x-1\right)=2\times 1
Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by x-1.
yx-y=2\times 1
Use the distributive property to multiply y by x-1.
yx-y=2
Multiply 2 and 1 to get 2.
yx=2+y
Add y to both sides.
yx=y+2
The equation is in standard form.
\frac{yx}{y}=\frac{y+2}{y}
Divide both sides by y.
x=\frac{y+2}{y}
Dividing by y undoes the multiplication by y.
x=\frac{y+2}{y}\text{, }x\neq 1
Variable x cannot be equal to 1.
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Limits
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