Q65. - Algebra 1

Question

Find the value of $n$. Then name the property used in each step. (Lesson 1-3)

$\left(10-8\right)\left(7\right)=2\left(n\right)$

Step-by-Step Solution

Answer

The value of $n$ is $7$. The property used is substitution property of equality.

Step 1. State the property.

The substitution property of equality states that for any quantity $a$, if $a=b$, then $a$ may be replaced by $b$ in any equality.

Step 2. Write the given equation.

The given equation is $\left(10-8\right)\left(7\right)=2\left(n\right)$.

Step 3. Solve the given equation.

Note that $10-8=2$.

 

Put $10-8=2$ in $\left(10-8\right)\left(7\right)=2\left(n\right)$ to get,

$\left(2\right)\left(7\right)=2\left(n\right)$

This implies that,

 

$7=n$ or equivalently $n=7$ (Substitution property of equality)

 

So, the solution of the given equation is $n=7$ and the property used is the substitution property of equality.