# How do you solve and check your solutions to 48=8c?

May 24, 2017

Divide both sides by 8 to get that $c = 6$.
Then, plug in $6$ for $c$ and check to make sure the equation is true.

#### Explanation:

To solve the equation, you need to get $c$ by itself.

How do we do that? Well, since both sides of the equation are equal, we can divide both sides of the equation by $8$ and they will still be equal.

$\textcolor{w h i t e}{\text{X....}} 48 = 8 c$

$48 \div 8 = 8 c \div 8$

$\textcolor{w h i t e}{\text{X.-.-.}} 6 = c$

This tells us that $c$ is 6.
Now, we need to check our solution. We do this by "plugging in" 6 for $c$ in the equation, and seeing if it makes it true.

48 =^? 8c

48 =^? 8times6

$48 {=}^{\textcolor{\lim e g r e e n}{\sqrt{}}} 48$

So our solution is correct! $c = 6$.

May 24, 2017

$c = 6$

#### Explanation:

The idea is to isolate c if you will. In order to do that, we need to dive both sides of the equation by 8.

$\frac{48}{8} = 8 \frac{c}{8}$

The 8 cancels out on the right side, leaving us with:

$6 = c$

To check your answer, simply take the value of c that you found and plug it back into the original equation.

$48 = 8 \left(6\right)$
$48 = 48$

Since the equation above is correct, our answer is correct.