Q51. - Algebra 2

Question

Solve each equation. Check your solution.

$4.3n+1=7-1.7n$

Step-by-Step Solution

Answer

The required answer is 1.

Step 1- Isolate the variable n

Perform addition of $1.7n$ and subtraction of 1 on both the sides of the equation.

 $\begin{array}{c}4.3n+1+1.7n-1=7-1.7n+1.7n-1\\ 6n=6\end{array}$

Perform division of 6 on both the sides of the equation

 $\begin{array}{c}\frac{6n}{6}=\frac{6}{6}\\ n=1\end{array}$

Step 2 – Check the obtained value

Substitute the obtained value of n into the original equation and perform simplification for checking.

$\begin{array}{l}4.3\left(1\right)+1\stackrel{?}{=}7-1.7\left(1\right)\\ 4.3+1\stackrel{?}{=}7-1.7\\ 5.3=5.3\end{array}$

Step 3- Make the conclusion

As the checking results in equal values on both the sides on substation of obtained value which means that obtained value is correct.