Q73. - Algebra 1

Question

Find the value of n in each equation. Then name the property that is used. 

$4-n=0$

Step-by-Step Solution

Answer

The required value is $n=4$. The name of the property is Additive inverse property.

Step 1. Isolate the variable.

$\begin{array}{l}4-n=0\\ -n=-4\end{array}$

Step 2. Remove the negative sign.

$\begin{array}{l}-n(-1)=-4(-1)\\ n=4\end{array}$

Hence, the value of $n=4$.

Step 3. Identify the property.

The additive inverse property says that the additive inverse of a number is its opposite number.

If a number is added to its inverse, then the sum of both the number becomes zero.

Since, the sum of 4 and $-4$ is equal to zero.

Thus, the required property is additive inverse property.