Question

How do you solve and check your solutions to `7=t/-7`?

Answer 1

`t=-49`

Explanation:

You can arrange your equation (by multiplying both sides with -7):

`7times(-7) = (t/-7)times-7`

then you can write:

`-49 = t`

It is your answer.

`t = -49`

When you divide t by -7, you will get

`-49/-7`

you get

`=(-7times7)/-7 = 7` which is equal to the first term (7) in your original equation.

I guess it explains everyting.

Answer 2

See a solution process below:

Explanation:

Multiply each side of the equation by `color(red)(-7)` to solve for `t` while keeping the equation balanced:

`color(red)(-7) xx 7 = color(red)(-7) xx t/-7`

`-49 = cancel(color(red)(-7)) xx t/color(red)(cancel(color(black)(-7)))`

`-49 = t`

`t = -49`

To check the solution we need to substitute `-49` for `t` in the original equation and calculate the right side of the equation:

`7 = t/-7` becomes:

`7 = (-49)/-7`

`7 = 7`