Question

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

$-1=7+3c$

Short answer

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

Step-by-step solution

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.