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

1 Answer
Mar 14, 2017

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