Solve for x
x=-1+\frac{5}{y}
y\neq 0
Solve for y
y=\frac{5}{x+1}
x\neq -1
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y\left(x+1\right)=5
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=5
Use the distributive property to multiply y by x+1.
yx=5-y
Subtract y from both sides.
\frac{yx}{y}=\frac{5-y}{y}
Divide both sides by y.
x=\frac{5-y}{y}
Dividing by y undoes the multiplication by y.
x=-1+\frac{5}{y}
Divide 5-y by y.
x=-1+\frac{5}{y}\text{, }x\neq -1
Variable x cannot be equal to -1.
Examples
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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