Question

How do you solve `-6j + 11= - 13- 8j`?

Answer 1

j = -12

Explanation:

-6j+11+8j=-13

2j+11=-13

2j=-11-13

2j=-24

divide by 2

-24/2 = -12

Answer 2

See a solution process below:

Explanation:

FIrst, subtract `color(red)(11)` and add `color(blue)(8j)` to each side of the equation to isolate the `j` term while keeping the equation balanced:

`-6j + color(blue)(8j) + 11 - color(red)(11) = -13 - color(red)(11) - 8j + color(blue)(8j)`

`(-6 + color(blue)(8))j + 0 = -24 - 0`

`2j = -24`

Now, divide each side of the equation by `color(red)(2)` to solve for `j` while keeping the equation balanced:

`(2j)/color(red)(2) = -24/color(red)(2)`

`(color(red)(cancel(color(black)(2)))j)/cancel(color(red)(2)) = -12`

`j = -12`