Q42. - Algebra 1

Question

Solve each equation. Check your solution.

$-5x-4.8=6.7$

Step-by-Step Solution

Answer

The solution of the given equation is $x=-2.3$.

Step 1. Write the given equation.

The given equation is “$-5x-4.8=6.7$”.

Step 2. Solve the given equation.

Solving,

 

$-5x-4.8=6.7$  (Given equation)

 

$-5x-4.8+4.8=6.7+4.8$  (Add 4.8 to both sides)

 

$-5x=11.5$  (Simplify)

 

$\frac{-5x}{-5}=\frac{11.5}{-5}$  (Divide both sides by $-5$)

 

$x=-2.3$  (Simplify)

 

So, $x=-2.3$ is the solution of the given equation.

Step 3. Check the obtained solution.

Put $x=-2.3$ in the given equation $-5x-4.8=6.7$ to get,

 

$\begin{array}{l}-5\left(-2.3\right)-4.8=6.7\\ 11.5-4.8=6.7\\ 6.7=6.7\end{array}$

 

Since the value obtained on the left-hand side and right-hand side are equal, the obtained value is indeed a solution of the given equation.