Question

How do you solve and check your solutions to `-4/3=2/3z`?

Answer 1

`z = -2`

Explanation:

First, I would multiply each side of the equation by `3` to eliminate the fraction and keep the equation balanced. This will make the equation easier to work with:

`3 xx -4/3 = 3 xx 2/3z`

`-(3 xx 4)/3 = (3 xx 2)/3z`

`-(color(red)(cancel(color(black)(3))) xx 4)/color(red)(cancel(color(black)(3))) = (color(red)(cancel(color(black)(3))) xx 2)/color(red)(cancel(color(black)(3)))z`

`-4 = 2z`

Now. we can solve for `z` while keeping the equation balanced:

`-4/color(red)(2) = (2x)/color(red)(2)`

`-2 = (color(red)(cancel(color(black)(2)))z)/color(red)(cancel(color(black)(2)))`

`-2 = z` or `z = -2`