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

Jun 7, 2017

$t = 45$

#### Explanation:

First, we start with the original equation:

$\frac{1}{5} t = 9$

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

$\frac{1}{\cancel{5}} \cdot \cancel{5} \cdot t = 9 \cdot 5$

And so, the equation becomes:

$t = 45$

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Now for the checking part:

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

$\frac{1}{5} \left(45\right) = 9$

We then simplify $\frac{1}{5} \left(45\right)$:

$\frac{1}{\cancel{5}} \left({\cancel{45}}^{9}\right) = 9$

$9 = 9$
This means that $t$ is indeed $45$