Q56. - Algebra 1

Question

Determine whether the given number is a solution to the equation.

$\frac{\mathbf{g}}{\mathbf{3}}\mathbf{-}\mathbf{4}\mathbf{=}\mathbf{12}\mathbf{;}\mathbf{48}$

Step-by-Step Solution

Answer

The given number is a solution to the equation.

Step 1. Understand what is given.

Given an equation. $\frac{\mathrm{g}}{3}-4=12$

Given a value of q = 48

Step 2. Plug the value in the equation.

Replace q by 48.

$\begin{array}{l}\frac{g}{3}-4=12\\ \Rightarrow \frac{48}{3}-4=12\\ \Rightarrow 16-4=12\\ \Rightarrow 12=12\mathrm{...}\left(\text{True}\right)\end{array}$

Step 3. Decide if it is a solution.

Since both sides are equal. That means q = 48 is a solution of the given equation.