Solve for a (complex solution)
\left\{\begin{matrix}a=\frac{b+1}{c}\text{, }&c\neq 0\\a\in \mathrm{C}\text{, }&b=-1\text{ and }c=0\end{matrix}\right.
Solve for a
\left\{\begin{matrix}a=\frac{b+1}{c}\text{, }&c\neq 0\\a\in \mathrm{R}\text{, }&b=-1\text{ and }c=0\end{matrix}\right.
Solve for b
b=ac-1
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ac=1+b
Add b to both sides.
ca=b+1
The equation is in standard form.
\frac{ca}{c}=\frac{b+1}{c}
Divide both sides by c.
a=\frac{b+1}{c}
Dividing by c undoes the multiplication by c.
ac=1+b
Add b to both sides.
ca=b+1
The equation is in standard form.
\frac{ca}{c}=\frac{b+1}{c}
Divide both sides by c.
a=\frac{b+1}{c}
Dividing by c undoes the multiplication by c.
-b=1-ac
Subtract ac from both sides.
\frac{-b}{-1}=\frac{1-ac}{-1}
Divide both sides by -1.
b=\frac{1-ac}{-1}
Dividing by -1 undoes the multiplication by -1.
b=ac-1
Divide 1-ac by -1.
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