# How do you solve 2.4= \frac { 9.3+ j } { - 3}?

Mar 14, 2017

See the entire solution process below:

#### Explanation:

First, multiply each side of the equation by $\textcolor{red}{- 3}$ to eliminate the fraction while keeping the equation balanced:

$\textcolor{red}{- 3} \times 2.4 = \textcolor{red}{- 3} \times \frac{9.3 + j}{- 3}$

$- 7.2 = \cancel{\textcolor{red}{- 3}} \times \frac{9.3 + j}{\textcolor{red}{\cancel{\textcolor{b l a c k}{- 3}}}}$

$- 7.2 = 9.3 + j$

Now, subtract $\textcolor{red}{9.3}$ from each side of the equation to solve for $j$ while keeping the equation balanced:

$- \textcolor{red}{9.3} - 7.2 = - \textcolor{red}{9.3} + 9.3 + j$

$- 16.5 = 0 + j$

$- 16.5 = j$

$j = - 16.5$