Chapter 1.1, Problem 22E

To determine

To solve the equation

  $4q=52$

Answer to Problem 22E

  $q=13$ is the solution.

Explanation of Solution

Given: Equation: $4q=52$

Formula Used:

The division property of equality states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal.

Calculation:

Given: Equation: $4q=52$

To solve the equation, dividing $5$ on both the sides as “division property of equality states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal.”

  $\begin{array}{l}4q=52\\ \frac{4q}{4}=\frac{52}{4}\\ q=13\end{array}$

Thus, the solution is $q=13$ .

Now, putting the value of $q=13$ in the L.H.S. of the equation, we have:

  $4\times 13=52$

And R.H.S. of the equation is $52$ .

Hence, L.H.S. $=$ R.H.S.

Thus, the solution is correct.

Conclusion:

Hence, the solution is $q=13$ .