Solve for a
a=\frac{2b}{b-2}
b\neq 2
Solve for b
b=\frac{2a}{a-2}
a\neq 2
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ab=2a+2b
Use the distributive property to multiply 2 by a+b.
ab-2a=2b
Subtract 2a from both sides.
\left(b-2\right)a=2b
Combine all terms containing a.
\frac{\left(b-2\right)a}{b-2}=\frac{2b}{b-2}
Divide both sides by b-2.
a=\frac{2b}{b-2}
Dividing by b-2 undoes the multiplication by b-2.
ab=2a+2b
Use the distributive property to multiply 2 by a+b.
ab-2b=2a
Subtract 2b from both sides.
\left(a-2\right)b=2a
Combine all terms containing b.
\frac{\left(a-2\right)b}{a-2}=\frac{2a}{a-2}
Divide both sides by a-2.
b=\frac{2a}{a-2}
Dividing by a-2 undoes the multiplication by a-2.
Examples
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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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