Q11. - Algebra 2

Question

Solve each equation. Check your solution.

$7+3x=49$

Step-by-Step Solution

Answer

The required answer is 14.

Step 1- Isolate the variable x

Perform subtraction of 7 from both the sides of the equation.

$\begin{array}{c}7+3x-7=49-7\\ 3x=42\end{array}$

Perform division of 3 on both the sides of the equation

$\begin{array}{c}\frac{3x}{3}=\frac{42}{3}\\ x=14\end{array}$

Step 2 – Check the obtained value

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

$\begin{array}{l}7+3\left(14\right)\stackrel{?}{=}49\\ 7+42\stackrel{?}{=}49\\ 49=49\end{array}$

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.