Question

How do you solve `\frac{3}{5}t=6`?

Answer 1

`t = 10`

Explanation:

all you have to do is cancel the "/5" from the left side by multiplying it (which is the opposite of division) by 6.

`3t = 6 x 5`
`3t = 30`
`t = 10`

Answer 2

`t=10`

Explanation:

Solve:

`3/5t=6`

Simplify `3/5t` to `(3t)/5`.

`(3t)/5=6`

Multiply both sides by `5`.

`color(red)cancel(color(black)(5))^1xx(3t)/color(red)cancel(color(black)(5))^1=6xx5`

`3t=30`

Divide both sides by `3`.

`(color(red)cancel(color(black)(3))^1t)/color(red)cancel(color(black)(3))^1=color(red)cancel(color(black)(30))^10/color(red)cancel(color(black)(3))^1`

Simplify.

`t=10`

Answer 3

`t=10`

Explanation:

To solve the equation you want to isolate the variable, `t`

You can do this in one step by multiplying both sides by the reciprocal of `3/5` which is `5/3`

`3/5t =6`

`color(blue)(cancel5/cancel3) xx cancel3/cancel5t = color(blue)(5/3)xx6`

`t= 5/cancel3 xx cancel6^2`

`t=10`