How do you solve and check your solution given 1/5t=9?

1 Answer
Jun 7, 2017

t=45

Explanation:

First, we start with the original equation:

1/5t=9

Next, in order to isolate the variable t, we multiply by 5 on both sides:

1/cancel5*cancel5*t=9*5

And so, the equation becomes:

t=45

.................................................................................................................................

Now for the checking part:

We substitute t=45 back into the original equation to see if t is indeed 45:

1/5(45)=9

We then simplify 1/5(45):

1/cancel5(cancel45^9)=9

And...tada!

9=9

This means that t is indeed 45