Q53. - Algebra 1

Question

Solve each equation. Check your solution. (Lesson 2-3)

$-1=7+3c$

Step-by-Step Solution

Answer

The solution of the given equation is $c=-\frac{8}{3}$.

Step 1. Write the given equation.

The given equation is “$-1=7+3c$”.

Step 2. Solve the given equation.

Solving,

 

$-1=7+3c$  (Given equation)

 

$-1-7=7+3c-7$  (Subtract 7 from both sides)

 

$-8=3c$  (Simplify)

 

$\frac{-8}{3}=\frac{3c}{3}$  (Divide both sides by 3)

 

$-\frac{8}{3}=c$  (Simplify)

 

$c=-\frac{8}{3}$  (Write the variable on the left-hand side)

 

So, $c=-\frac{8}{3}$ is the solution of the given equation.

Step 3. Check the obtained solution.

Put $c=-\frac{8}{3}$ in the given equation $-1=7+3c$ to get,

 

$\begin{array}{l}-1=7+3\left(-\frac{8}{3}\right)\\ -1=7+\left(-8\right)\\ -1=7-8\\ -1=-1\end{array}$

 

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.