Q.20. - Precalculus Enhanced with Graphing Utilities

Question

In Problems 17–36, solve each equation algebraically. Verify your solution using a graphing utility..$5-\left(2x-1\right)=10-x$

Step-by-Step Solution

Answer

The value of $x=-4$

Step 1. Given equation

$5-\left(2x-1\right)=10-x$

Step 2. Solve the given equation

$$\begin{gathered} 5-\left(2x-1\right)=10-x \\ \Rightarrow 5-2x+1=10-x \\ \Rightarrow -2x+x=10-6 \\ \Rightarrow -x=4 \\ \Rightarrow x=-4 \end{gathered}$$

Step 3. graph and x-coordinate of the intersection point.

x-coordinate of the intersection point is