Solve for x
x=\frac{2}{y-1}
y\neq 1
Solve for y
y=\frac{x+2}{x}
x\neq 0
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\left(y-1\right)x=2
Combine all terms containing x.
\frac{\left(y-1\right)x}{y-1}=\frac{2}{y-1}
Divide both sides by y-1.
x=\frac{2}{y-1}
Dividing by y-1 undoes the multiplication by y-1.
xy=2+x
Add x to both sides.
xy=x+2
The equation is in standard form.
\frac{xy}{x}=\frac{x+2}{x}
Divide both sides by x.
y=\frac{x+2}{x}
Dividing by x undoes the multiplication by x.
Examples
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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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