Q72. - Algebra 1

Question

Which one doesn't belong? Identify the equation that does not belong with the other three. Explain your reasoning.

$\boxed{n+14=27}$  $\boxed{12+n=25} \boxed{n-16=29}\boxed{n-4=9}$

Step-by-Step Solution

Answer

The equation does not belong to the other three is $n-16=29$.

Step 1. Write the given information.

Given equations: 

Here unknown variables are n.

To determine: The equation does not belong to the other three.

Step 2. Solving for an unknown variable.

Let the number be n.

$\begin{array}{l}n+14=27\\ n=27-14\\ n=13\\ \\ 12+n=25\\ n=25-12\\ n=13\\ \\ n-16=29\\ n=29+16\\ n=45\\ \\ n-4=9\\ n=4+9\\ n=13\end{array}$

Step 3. Identify the different equations.

Only $n-16=29$ has a different solution

Thus, the equation not belong to the other three is $n-16=29$.