Q42. - Algebra 2

Question

Solve each equation. Check your solution.

 $14-3n=-10$

Step-by-Step Solution

Answer

The required answer is 8.

Step 1- Isolate the variable n

Perform subtraction of 14 on both sides of the equation.

$\begin{array}{c}14-3n-14=-10-14\\ -3n=-24\end{array}$

Perform division of on both sides of the equation.

$\begin{array}{c}\frac{-3n}{-3}=\frac{-24}{-3}\\ n=8\end{array}$

Step 2 – Check the obtained value

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

$\begin{array}{l}14-3\left(8\right)\stackrel{?}{=}-10\\ 14-24\stackrel{?}{=}-10\\ -10=-10\end{array}$

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.