Chapter 5, Problem 1ES

To determine

To calculate: The value of the variable for the equation $5N=35$.

Answer to Problem 1ES

Solution:

The value of the variable for the equation $5N=35$ is $7$.

Explanation of Solution

Given Information:

The provided equation is $5N=35$.

Formula used:

Steps to determine the value of an unknown variable.

1. When the equation includes the product of an unknown variable and a number then divide both sides by that number.

2. When the equation includes the quotient of an unknown variable and a divisor then multiply both sides by that divisor.

3. The solution of the equation is the number which is on the opposite side of the unknown variable.

4. Substitute the obtained value in the original equation to check the solution.

Calculation:

Consider the equation, $5N=35$

Divide both the sides by $5$,

$\begin{array}{c}\frac{5N}{5}=\frac{35}{5}\\ N=7\end{array}$

Check the solution in the original equation,

Substitute $N=7$ in the equation $5N=35$,

$\begin{array}{l}5\left(7\right)\stackrel{?}{=}35\\ \text{ 3}5=35\end{array}$

So, the solution is correct.

Therefore, the value of the variable for the equation $5N=35$ is $7$.