Question

Solve the following equation and check your solution.

$-9=t+16$

Short answer

The solution of the equation is $t=-25$.

Step-by-step solution

Step 1.  Given information.

The equation is:

$-9=t+16$

Step 2.  Solve the equation.

The equation can be solved in below:

$\begin{array}{l}-9=t+16\text{(Writeoriginalequation)}\\ -9-16=t+16-16\text{(Subtract16fromeachside)}\\ -25=t\text{(Simplify)}\\ t=-25\end{array}$

Step 3.  Check the solution.

To check substitute $t=-25$in Right-hand-side of the equation and if Right-hand-side equal Left-hand-side then the solution is correct.

$\begin{array}{l}t+16\text{(WriteRight-handsideoftheequation)}\\ =-25+16\text{(Substitute}t=-25\text{)}\\ =-9\text{(Simplify)}\\ \text{=LHS}\end{array}$