Chapter 2.7, Problem 6P

Solve each proportion using the Multiplication Property of Equality.

$\frac{2}{9}=\frac{j}{18}$

To determine

To Solve:The proportion $\frac{2}{9}=\frac{j}{18}$ and use multiplication property of equality.

Answer to Problem 6P

The solution of the equation $\frac{2}{9}=\frac{j}{18}$ is $j=4$ .

Explanation of Solution

Given information:

The equation $\frac{2}{9}=\frac{j}{18}$

Concept and Formula Used:

Operation of variables. Properties of equality.

Calculation:

The given equation is

  $\begin{array}{l}\frac{2}{9}=\frac{j}{18}\\ \text{Multiply both sides by 18}\\ \frac{2}{9}\times 18=\frac{j}{18}\times 18\left(\text{Multiplication property of equality}\right)\\ j=2\times 2\left(\text{Simplify}\right)\\ j=4\end{array}$

Conclusion:

The solution of the equation $\frac{2}{9}=\frac{j}{18}$ is $j=4$ .