Question

Prove t = 3.9 given: t+6.5=3t-1.3 with reason​

Answer 1

See below.

Explanation:

1) Subtract
`t` from both sides.

`6.5=3t-1.3-t`

2) Simplify
`3t-1.3-t` to
`2t-1.3`.

`6.5=2t-1.3`

3) Add
`1.3` to both sides.

`6.5+1.3=2t`

4) Simplify
`6.5+1.3` to
`7.8`.

`7.8=2t`

5) Divide both sides by
`2`.

`(7.8)/(2) =t`

6) Simplify
`(7.8)/(2)` to
`3.9`.

`3.9=t`

5) Switch sides.

`t=3.9`

Check the answer:

`t+6.5=3t-1.3`

1) Let
`t=3.9`.

`3.9+6.5=3*3.9-1.3`

2) Simplify
`3*3.9` to
`11.7`.

`3.9+6.5=11.7-1.3`

3) Simplify
`3.9+6.5` to
`10.4`.

`10.4=11.7-1.3`

4) Simplify
`11.7-1.3` to
`10.4`.

`10.4=10.4`

Hence it can be proven that
`t=3.9` is a result of the equation
`t+6.5=3t-1.3`.

Thank you.