Question

Solve the equation. Check your solution.

$t+9=-5t$

Short answer

Solution of given equation is$t=-14$$t=-14$.

Step-by-step solution

Step 1  .Solving for value of t

$t+9=-5$

Subtracting 9 on both sides, we get

$\begin{array}{c}t+9=-5\\ t+9-9=-5-9\\ t=-5-9\\ t=-14\end{array}$

.Verification of our solution

For checking our answer, substitute$t=-14$in given equation$t+9=-5$$\begin{array}{c}-14+9=-5\\ -5=-5\end{array}$$t+9=-5$.

$\begin{array}{c}-14+9=-5\\ -5=-5\end{array}$

.Description of step

Here, as both sides of above expression are equal, our answer is true.