Q55. - Algebra 1

Question

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

$\frac{\mathbf{w}\mathbf{-}\mathbf{4}}{\mathbf{5}}\mathbf{=}\mathbf{-}\mathbf{3}\mathbf{;}\mathbf{-}\mathbf{11}$

Step-by-Step Solution

Answer

The given number is a solution to the equation.

Step 1. Understand what is given.

Given an equation. $\frac{w-4}{5}=-3$

Given a value of q = -11

Step 2. Plug the value in the equation.

Replace q by – 11.

$\begin{array}{l}\frac{w-4}{5}=-3\\ \Rightarrow \frac{-11-4}{5}=-3\\ \Rightarrow -3=-3\mathrm{...}\left(\text{True}\right)\end{array}$

Step 3. Decide if it is a solution.

Since both sides are equal. That means q = -11 is a solution of the given equation.