# How do you solve and check your solutions to 7=t/-7?

Jun 30, 2017

$t = - 49$

#### Explanation:

You can arrange your equation (by multiplying both sides with -7):

$7 \times \left(- 7\right) = \left(\frac{t}{-} 7\right) \times - 7$

then you can write:

$- 49 = t$

$t = - 49$

When you divide t by -7, you will get

$- \frac{49}{-} 7$

you get

$= \frac{- 7 \times 7}{-} 7 = 7$ which is equal to the first term (7) in your original equation.

I guess it explains everyting.

Jun 30, 2017

See a solution process below:

#### Explanation:

Multiply each side of the equation by $\textcolor{red}{- 7}$ to solve for $t$ while keeping the equation balanced:

$\textcolor{red}{- 7} \times 7 = \textcolor{red}{- 7} \times \frac{t}{-} 7$

$- 49 = \cancel{\textcolor{red}{- 7}} \times \frac{t}{\textcolor{red}{\cancel{\textcolor{b l a c k}{- 7}}}}$

$- 49 = t$

$t = - 49$

To check the solution we need to substitute $- 49$ for $t$ in the original equation and calculate the right side of the equation:

$7 = \frac{t}{-} 7$ becomes:

$7 = \frac{- 49}{-} 7$

$7 = 7$