Question

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

Answer 1

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.

`color(white)"X...."48 = 8c`

`48 div 8 = 8c div 8`

`color(white)"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 =^color(limegreen)(sqrt()) 48`

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

Answer 2

`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.

`48/8=8c/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(6)`
`48=48`

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