Question

Tell whether the given value of the variable is a solution of the equation.

$91 = 7c; c =13$

Short answer

Yes, $c = 13$is the solution of the equation $91 = 7c$.

Step-by-step solution

Apply the concept of equation: 

An equation is a mathematical statement that two expressions are equal. The solution of an equation is the value that when substituted for the variable makes the equation a true statement.

Example: 3x + 5 = 14 is an equation, in which 3x+5 and 14 are two expressions separated by an ‘’equal’’ sign.

What are the steps to solve an equation? 

Step 1: Simplify each side of the equation by removing parenthesis and combining the like terms.

Step 2: Use addition or subtraction to isolate the variable term on one side (preferably in the left side).

Step 3: Use Multiplication or Division to solve for the variable.

Step 3: Tell whether the given value of the variable is a solution of the equation. 91  =  7c  ;  c  =  13

Solving the equation:

$\begin{array}{l}91=7c\\ \frac{91}{7}=\frac{7c}{7}\left[\text{Dividebothsidesby7}\right]\\ c=13\end{array}$

Yes, the solution of the equation is $c = 13$