Solve a3b=9b

$$a 3 b = 9 b$$

Solve for a_3

$$\left\{\begin{matrix}\\a_{3}=9\text{, }&\text{unconditionally}\\a_{3}\in \mathrm{R}\text{, }&b=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$ba_{3}=9b$$

Divide both sides by b.

$$\frac{ba_{3}}{b}=\frac{9b}{b}$$

Dividing by b undoes the multiplication by b.

$$a_{3}=\frac{9b}{b}$$

Divide 9b by b.

$$a_{3}=9$$

Solve for b

$$\left\{\begin{matrix}\\b=0\text{, }&\text{unconditionally}\\b\in \mathrm{R}\text{, }&a_{3}=9\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 9b from both sides.

$$a_{3}b-9b=0$$

Combine all terms containing b.

$$\left(a_{3}-9\right)b=0$$

Divide 0 by -9+a_{3}.

$$b=0$$