Question

Solve each equation. Check your solutions.

$2a-5=13$

Short answer

The$a=9$ is the solution of the given equation.

Step-by-step solution

Step 1. Given information.

We have an equation $2a-5=13$.

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

Step 2. Calculation.

Solving the given equation:

$\begin{array}{l}2a-5=13\\ \Rightarrow 2a=13+5\\ \Rightarrow 2a=18\\ \Rightarrow a=9\end{array}$

Step 3. Check the Solution.

We substitute the$a=9$ in the given equation.

$\begin{array}{l}2a-5=13\\ \Rightarrow 2\times 9-5=13\\ \Rightarrow 18-5=13\\ \Rightarrow 13=13\\ \Rightarrow L.H.S=R.H.S\end{array}$

Hence, the$a=9$ is the solution of the given equation.