Q45. - Algebra 1

Question

Solve each equation. Check your solution.

$\frac{c}{2}-4.3=11.5$

Step-by-Step Solution

Answer

The solution of the given equation is $c=31.6$.

Step 1. Write the given equation.

The given equation is “$\frac{c}{2}-4.3=11.5$”.

Step 2. Solve the given equation.

Solving,

 

$\frac{c}{2}-4.3=11.5$  (Given equation)

 

$\frac{c}{2}-4.3+4.3=11.5+4.3$  (Add 4.3 to both sides)

 

$\frac{c}{2}=15.8$  (Simplify)

 

$\frac{c}{2}\times 2=15.8\times 2$  (Multiply both sides by 2)

 

$c=31.6$  (Simplify)

 

So, $c=31.6$ is the solution of the given equation.

Step 3. Check the obtained solution.

Put $c=31.6$ in the given equation $\frac{c}{2}-4.3=11.5$ to get,

$\begin{array}{l}\frac{31.6}{2}-4.3=11.5\\ 15.8-4.3=11.5\\ 11.5=11.5\end{array}$ 

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.