Q52. - Algebra 2

Question

Solve each equation. Check your solution.

$1.7x-8=2.7x+4$

Step-by-Step Solution

Answer

The required answer is $-12$.

Step 1- Isolate the variable x

Perform addition of 8 and subtraction of $2.7x$ on both the sides of the equation.

$\begin{array}{c}1.7x-8+8-2.7x=2.7x+4+8-2.7x\\ -x=12\end{array}$

Perform division of $-1$ on both the sides of the equation

 $\begin{array}{c}\frac{-x}{-1}=\frac{12}{-1}\\ x=-12\end{array}$

Step 2 – Check the obtained value

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

$\begin{array}{l}1.7\left(-12\right)-8\stackrel{?}{=}2.7\left(-12\right)+4\\ -20.4-8\stackrel{?}{=}-32.4+4\\ -28.4=-28.4\end{array}$

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.