Q54. - Algebra 1

Question

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

$\frac{\mathbf{q}}{\mathbf{2}}\mathbf{=}\mathbf{20}\mathbf{;}\mathbf{10}$

Step-by-Step Solution

Answer

The given number is not a solution to the equation.

Step 1. Understand what is given.

Given an equation. $\frac{q}{2}=20$

Given a value of q = 10

Step 2. Plug the value in the equation.

Replace q by 10.

$\begin{array}{l}\frac{q}{2}=20\\ \Rightarrow \frac{10}{2}=20\\ \Rightarrow 5=20\mathrm{...}\left(\text{False}\right)\end{array}$

Step 3. Decide if it is a solution.

Since 5 and 20 are not equal. That means q = 10 is not a solution to the given equation.