Question

Solve each equation. Check your solution.

$\frac{3}{2}a-8=11$

Short answer

The solution of the given equation $a=\frac{38}{3}$.

Step-by-step solution

Step 1. Isolate the variable.

$\begin{array}{l}\frac{3}{2}a-8=11\\ \frac{3}{2}a=11+8\end{array}$

Step 2. Solve for the variable.

$\begin{array}{l}\frac{3}{2}a=19\\ 3a=19\times 2\\ 3a=38\\ a=\frac{38}{3}\end{array}$

Step 3. Check the solution by putting the value of a into the given equation.

$\begin{array}{l}\frac{3}{2}a-8=11\\ \frac{3}{2}\times \frac{38}{3}-8=11\\ 19-8=11\\ 11=11\end{array}$