Solve a*b=a

$$a * b = a$$

Solve for a

$$\left\{\begin{matrix}\\a=0\text{, }&\text{unconditionally}\\a\in \mathrm{R}\text{, }&b=1\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract a from both sides.

$$ab-a=0$$

Combine all terms containing a.

$$\left(b-1\right)a=0$$

Divide 0 by -1+b.

$$a=0$$

Solve for b

$$\left\{\begin{matrix}\\b=1\text{, }&\text{unconditionally}\\b\in \mathrm{R}\text{, }&a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$ab=a$$

Divide both sides by a.

$$\frac{ab}{a}=\frac{a}{a}$$

Dividing by a undoes the multiplication by a.

$$b=\frac{a}{a}$$

Divide a by a.

$$b=1$$