Q.18. - Precalculus Enhanced with Graphing Utilities

Question

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

Step-by-Step Solution

Answer

The value of X is $x=\frac{7}{5} \left(\mathrm{Decimal}: x=1.4\right)$

Step 1. Given equation

$3(2-x)=2x-1$

Step 2. Solve the given equation

$$\begin{gathered} 3\left(2-x\right)=2x-1 \\ \Rightarrow 6-3x=2x-1 \\ \Rightarrow -5x=-1-6 \\ \Rightarrow -5x=-7 \\ \Rightarrow x=\frac{7}{5}=1.4 \end{gathered}$$

Step 3.Graph of equations and value of x-intersection point.

x-intersection value is