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

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Answer 1 · 2017-06-07T22:47:45

#t=45#

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#