Question

How do you solve and check your solutions to `-108=9j`?

Answer 1

See the entire solution and validation process below:

Explanation:

`color(red)(Solution)` `color(red)(Process)`

Divide each side of the equation by `color(red)(9)` to solve for `j` while keeping the equation balanced:

`(-108)/color(red)(9) = (9j)/color(red)(9)`

`-12 = (color(red)(cancel(color(black)(9)))j)/cancel(color(red)(9))`

`-12 = j`

`j = -12`

`color(red)(Validation)` `color(red)(Process)`

To validate this we need to substitute `color(red)(-12)` for `color(red)(j)` in the original equation and calculate the right side of the equation to ensure it equals `-108`:

`-108 = 9color(red)(j)` becomes:

`-108 = 9 xx color(red)(-12)`

`-108 = -108`

The two sides of the equation are equal therefore the solution to this problem is `j = -12`