Q7 - Geometry

Question

Find the value of the variable.

$3x=15$

Step-by-Step Solution

Answer

The value of the variable is $\mathit{x}\mathbf{=}\mathbf{5}$.

Step 1. Divide by 3.

To find the value of variable x in the equation $3x=15$, divide both sides of the equation by 3.

$\frac{3x}{3}=\frac{15}{3}$

Step 2. Simplify the equation.

To further simplify, cancel the common factors of 3.

$\begin{array}{l}\frac{3x}{3}=\frac{5\times 3}{3}\\ x=5\end{array}$

Step 3. Verify the value.

In order to verify the value of x, substitute 5 for x into the equation $3x=15$.

$\begin{array}{l}3\times \left(5\right)=15\\ 15=15\text{ True}\end{array}$

Hence, the value of the variable is $x=5$.