Question

Solve the equation and check your answer.
(that is one fifth )
1/5t-3=-17

Answer 1

`(1)/(5) t` - 3 = -17

First, simplify
`(1)/(5) t` to
`(t)/(5)` / Your problem should look like:
`(t)/(5) - 3 = -17`
Second, multiply both sides by 5. / Your problem should look like:
`t - 15 = -85`
Third, add 15 to both sides. / Your problem should look like:
`t = -85 + 15`
Fourth, simplify -85 + 15 to get -70. / Your problem should look like:
`t = -70`

CHECKING:

`(1)/(5) t - 3 = -17`
First, let t = -70 / Your problem should look like:
`(1)/(5) x -70-3=-17`
Second, simplify
`(1)/(5) x -70` to
`-(1)/(5)x70` / Your problem should look like:
`-(1)/(5) x 70-3=-17`
Third, simplify
`(1)/(5) x70` to
`(70)/(5)` / Your problem should look like:
`- (70)/(5) -3=-17`
Fourth, since 14 goes into 5 to get 70, simplify the fraction by 14. / Your problem should look like:
`-14-3=-17`
Fifth, simplify -14 - 3 to get -17 / Your problem should look like:
`-17 = -17`

Answer: t = -70