Q.19. - Precalculus Enhanced with Graphing Utilities

Question

In Problems 17–36, solve each equation algebraically. Verify your solution using a graphing utility.$8x-\left(2x+1\right)=3x-13$

Step-by-Step Solution

Answer

The value of x is $x=-4$

Step 1.Given equation

$8x-(2x+1)=3x-13$

Step 2. Solve the equation

$$\begin{gathered} 8x-(2x+1)=3x-13 \\ \Rightarrow 8x-2x-1=3x-13 \\ \Rightarrow 6x-1=3x-13 \\ \Rightarrow 3x=-13+1 \\ \Rightarrow 3x=-12 \\ \Rightarrow x=\frac{-12}{3}=-4 \end{gathered}$$

Step 3. Graph and X-coordinate of intersection point.

-coordinate of intersection point is