Solve for x
x=-\frac{5}{1-Y}
Y\neq 1
Solve for Y
Y=\frac{x+5}{x}
x\neq 0
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Yx=5+x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
Yx-x=5
Subtract x from both sides.
\left(Y-1\right)x=5
Combine all terms containing x.
\frac{\left(Y-1\right)x}{Y-1}=\frac{5}{Y-1}
Divide both sides by Y-1.
x=\frac{5}{Y-1}
Dividing by Y-1 undoes the multiplication by Y-1.
x=\frac{5}{Y-1}\text{, }x\neq 0
Variable x cannot be equal to 0.
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