Chapter 1.1, Problem 4E

To determine

Which expression does not belong with the other three

$8=\frac{x}{2}$ , $3=x÷4$ , $x-6=5$ , $\frac{x}{3}=9$

Answer to Problem 4E

The solution is $x-6=5$

Explanation of Solution

Given:

$8=\frac{x}{2}$ , $3=x÷4$ , $x-6=5$ , $\frac{x}{3}=9$

Calculation:

For, $8=\frac{x}{2}$

Multiplying 2 on both sides we get the solution, given by

  $\begin{array}{l}8\times 2=\frac{x}{2}\times 2\\ =>x=16\end{array}$

For, $3=x÷4$

Multiplying 4 on both sides we get the solution, given by

  $\begin{array}{l}3\times 4=x÷4\times 4\\ =>x=12\end{array}$

For, $\frac{x}{3}=9$

Multiplying 3 on both sides we get the solution, given by

  $\begin{array}{l}\frac{x}{3}\times 3=9\times 3\\ =>x=27\end{array}$

For, $x-6=5$

Adding 6 on both sides we get the solution, given by

  $\begin{array}{l}x-6+6=5+6\\ =>x=11\end{array}$

Thus, in case of $x-6=5$ we have to add both sides with a constant in order to get a solution unlike the other three given equations. Hence $x-6=5$ is the odd one out.