Solve for a
a=\frac{3b}{5}
Solve for b
b=\frac{5a}{3}
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5a=3b
Add 3b to both sides. Anything plus zero gives itself.
\frac{5a}{5}=\frac{3b}{5}
Divide both sides by 5.
a=\frac{3b}{5}
Dividing by 5 undoes the multiplication by 5.
-3b=-5a
Subtract 5a from both sides. Anything subtracted from zero gives its negation.
\frac{-3b}{-3}=-\frac{5a}{-3}
Divide both sides by -3.
b=-\frac{5a}{-3}
Dividing by -3 undoes the multiplication by -3.
b=\frac{5a}{3}
Divide -5a by -3.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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]
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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