Question

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

Answer 1

See the entire solution process below:

Explanation:

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

`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`