Q. 1 - Precalculus Enhanced with Graphing Utilities

Question

find the real solutions of each equation.

$3x-8=10$

Step-by-Step Solution

Answer

The solution of the equation $3x-8=10$ is $x=6$

Step 1. Given data

The given equation is

$3x-8=10$

Step 2. solution of equation

Collect variable x  on one side and all others on another side and simplify it

$$\begin{gathered} 3x-8=10 \\ 3x=10+8 \\ 3x=18 \\ x=\frac{18}{3} \\ x=6 \end{gathered}$$

solution of equation is $x=6$

Step 3. verification

Substitute $6$ for x in the equation

$$\begin{gathered} 3x-8=10 \\ 3\left(6\right)-8\stackrel{?}{=}10 \\ 18-8\stackrel{?}{=}10 \\ 10=10 \end{gathered}$$

both sides of the equation are the same so the solution is correct.