Chapter 2.1, Problem 11P

Solve each equation using multiplication or division. Check your answer.

$\frac{k}{6}=8$

To determine

To Solve:The equation $\frac{k}{6}=8$ and check the solution.

Answer to Problem 11P

The solution of the equation $\frac{k}{6}=8$ is $k=48$ .

Explanation of Solution

Given information:

The equation $\frac{k}{6}=8$

Concept and Formula Used:

Operation of variables. Properties of equality.

Calculation:

The given equation is

  $\begin{array}{l}\frac{k}{6}=8\\ \text{Multiply both sides by 6 }\\ \frac{k}{6}\times 6=8\times 6\left(\text{Multiplication property of equality}\right)\\ k=48\left(\text{Simplify}\right)\end{array}$

To check put the value of $k=48$ in the equation

  $\begin{array}{l}\frac{k}{6}=8\\ \frac{48}{6}\stackrel{?}{=}8\\ 8=8\\ \text{As LHS}=RHS\text{ therefore the solution is correct}\end{array}$

Conclusion:

The solution of the equation $\frac{k}{6}=8$ is $k=48$ .