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

Question

1726 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-14T19:37:54

See the entire solution process below:

First, multiply each side of the equation by $- 3$ $color(red)(-3)$ to eliminate the fraction while keeping the equation balanced:

$- 3 \times 2.4 = - 3 \times \frac{9.3 + j}{- 3}$ $color(red)(-3) xx 2.4 = color(red)(-3) xx (9.3 + j)/(-3)$

$-7.2 = cancel(color(red)(-3)) xx (9.3 + j)/color(red)(cancel(color(black)(-3)))$

$-7.2 = 9.3 + j$

Now, subtract $color(red)(9.3)$ from each side of the equation to solve for $j$ while keeping the equation balanced:

$-color(red)(9.3) - 7.2 = -color(red)(9.3) + 9.3 + j$

$-16.5 = 0 + j$

$-16.5 = j$

$j = -16.5$

How do you solve 2.4= \frac { 9.3+ j } { - 3}2.4=9.3+j−32.4= \frac { 9.3+ j } { - 3}?