Question

Describe how you would solve an equation of the form $ax=b$ where $a\ne 0$.

Short answer

The solution of the equation is $x=\frac{b}{a}$.

Step-by-step solution

– Given information.

The equation is provided as:

$ax=b$ where $a\ne 0$.

– Evaluate the equation.

The equation can be solved as:

$\begin{array}{l}ax=b\text{(Writetheoriginalequation)}\\ \frac{ax}{a}=\frac{b}{a}\text{(Dividedeachsidesby}a\text{)}\\ x=\frac{b}{a}\text{(Simplify)}\end{array}$

So,

The solution of the equation is $x=\frac{b}{a}$.