Chapter 7, Problem 1RP

To determine

To calculate: The solution of the equation, $x-5=37$.

Answer to Problem 1RP

Solution:

The solution of the equation, $x-5=37$ is $\underset{\_}{42}$.

Explanation of Solution

Given information:

The equation, $x-5=37$.

Formula used:

If the same number or variable term is added to both side of the equation, the result on each side are equal. For any number $a,b\text{ and }c$, if $a=b$ then,

$a+c=b+c$.

Calculation:

Consider the equation, $x-5=37$.

Now use the addition principle of equality to isolate term x alone for that add $5$ to both side of equation.

$\begin{array}{l}x-5=37\\ \underset{\_}{++5+5}\\ x=42\end{array}$

The value of x obtained is $42$.

Check whether the obtained solution satisfies the provided equation or not for that substitute the variable $x=42$.

$\begin{array}{c}x-5=37\\ 42-5\stackrel{?}{=}37\\ 37=37\end{array}$

Here left side of equation is equal to the right side of equation. Therefore, the obtained solution for equation $x-5=37$ is true.

Thus, the solution of equation $x-5=37$ is $42$.