Question

Solve each equation. Check your solutions.

$\frac{t}{6}=-3$

Short answer

The$t=-18$ is the solution of the given equation.

Step-by-step solution

Step 1. Given information.

We have an equation $\frac{t}{6}=-3$.

To find the solution of the given equation and check the solution.

Step 2. Calculation.

Solving the given equation:

$\begin{array}{l}\frac{t}{6}=-3\\ \Rightarrow t=-3\times 6\\ \Rightarrow t=-18\end{array}$

Step 3. Check the Solution.

We substitute the$t=-18$ in the given equation.

$\begin{array}{l}\frac{t}{6}=-3\\ \Rightarrow \frac{-18}{6}=-3\\ \Rightarrow -3=-3\\ \Rightarrow L.H.S=R.H.S\end{array}$

Hence, the$t=-18$ is the solution of the given equation.