Solve for b
\left\{\begin{matrix}b=\frac{c+d}{a}\text{, }&d\neq -c\text{ and }a\neq 0\\b\neq 0\text{, }&a=0\text{ and }d=-c\end{matrix}\right.
Solve for a
a=\frac{c+d}{b}
b\neq 0
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ab=d+c
Variable b cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by b.
ab=c+d
The equation is in standard form.
\frac{ab}{a}=\frac{c+d}{a}
Divide both sides by a.
b=\frac{c+d}{a}
Dividing by a undoes the multiplication by a.
b=\frac{c+d}{a}\text{, }b\neq 0
Variable b cannot be equal to 0.
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