Solve for a
\left\{\begin{matrix}a=\frac{3c+2}{b}\text{, }&b\neq 0\\a\in \mathrm{R}\text{, }&c=-\frac{2}{3}\text{ and }b=0\end{matrix}\right.
Solve for b
\left\{\begin{matrix}b=\frac{3c+2}{a}\text{, }&a\neq 0\\b\in \mathrm{R}\text{, }&c=-\frac{2}{3}\text{ and }a=0\end{matrix}\right.
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ab=3c+2
Add 2 to both sides.
ba=3c+2
The equation is in standard form.
\frac{ba}{b}=\frac{3c+2}{b}
Divide both sides by b.
a=\frac{3c+2}{b}
Dividing by b undoes the multiplication by b.
ab=3c+2
Add 2 to both sides.
\frac{ab}{a}=\frac{3c+2}{a}
Divide both sides by a.
b=\frac{3c+2}{a}
Dividing by a undoes the multiplication by a.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Matrix
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Simultaneous equation
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\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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