Chapter 10.2, Problem 32E

To determine

To calculate:

The solution of the following and check it:

  $\frac{1}{4}x+0.5x=1.5$

Answer to Problem 32E

The solution of $\frac{1}{4}x+0.5x=1.5$ is $x=2$

Explanation of Solution

Given information:

  $\frac{1}{4}x+0.5x=1.5$

Calculation:

The given equation is:

  $\frac{1}{4}x+0.5x=1.5$

Need to solve it for $x$ :

Take the addition of the similar terms of left hand side of the equation:

  $\begin{array}{l}0.25x+0.5x=1.5\\ 0.75x=1.5\end{array}$

Divide by $0.75$ on both sides:

  $\begin{array}{l}\frac{0.75}{0.75}x=\frac{1.5}{0.75}\\ x=2\end{array}$

Check for the solution $x=2$ :

  $\begin{array}{l}\frac{1}{4}\left(2\right)+0.5\left(2\right)=1.5\\ \frac{1}{2}+1=1.5\\ 1.5=1.5\end{array}$

Hence, solution is verified.