Solve for x
x=\frac{1}{y-2}
y\neq 2
Solve for y
y=2+\frac{1}{x}
x\neq 0
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xy-2x=1
Subtract 2x from both sides.
\left(y-2\right)x=1
Combine all terms containing x.
\frac{\left(y-2\right)x}{y-2}=\frac{1}{y-2}
Divide both sides by y-2.
x=\frac{1}{y-2}
Dividing by y-2 undoes the multiplication by y-2.
xy=2x+1
The equation is in standard form.
\frac{xy}{x}=\frac{2x+1}{x}
Divide both sides by x.
y=\frac{2x+1}{x}
Dividing by x undoes the multiplication by x.
y=2+\frac{1}{x}
Divide 2x+1 by x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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