Q14. - Algebra 2

Question

Solve each equation. Check your solution.

$1.8a-5=-2.3$

Step-by-Step Solution

Answer

The required answer is $1.5$.

Step 1- Isolate the variable a

Perform addition of 5 on both sides of the equation.

$\begin{array}{c}1.8a-5+5=-2.3+5\\ 1.8a=2.7\end{array}$

Perform division of on both sides of the equation.

 $\begin{array}{c}\frac{1.8a}{1.8}=\frac{2.7}{1.8}\\ a=1.5\end{array}$

Step 2 – Check the obtained value

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

 $\begin{array}{l}1.8\left(1.5\right)-5\stackrel{?}{=}-2.3\\ 2.7-5\stackrel{?}{=}-2.3\\ -2.3=-2.3\end{array}$

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.