Chapter 3.1, Problem 36E

To determine

To solve: The equation and explain whether the solution is connect.

Answer to Problem 36E

The solution is $x=6$ and the solution is connect.

Explanation of Solution

Given information: $\frac{x+2}{4}=2$,

Calculation: $\frac{x+2}{4}=2$

Let’s solve the equation,

  $\begin{array}{l}\frac{x+2}{4}=2\\ \Rightarrow x+2=2\times 4\left[\text{by cross multiplication}\right]\\ \Rightarrow x=8-2\\ \Rightarrow x=6\end{array}$

To verify whether the solution is connect or not, put the solution to the given equation, we should get the equal value for right hand side and left hand side,

Therefore,

Left hand side,

  $\begin{array}{l}\frac{x+2}{4}\\ =\frac{6+2}{4}\\ =2\end{array}$

Right hand side $=2$

Hence, The solution is $x=6$ and the solution is connect.