Chapter 1.8, Problem 13P

Tell whether the given number is a solution of each equation.

$7c-(-5)=26;3$

To determine

To determine whether the number 3 is a solution of the equation:

  $7c-\left(-5\right)=26$

Answer to Problem 13P

Yes, the number 3 is a solution of given equation.

Explanation of Solution

Given:

  $7c-\left(-5\right)=26$

Concept Used:

To check whether a number ‘ a’ is a solution of a equation substitute a for the variable and then check whether it make equation an identity, that is if both sides left and right become equal.

Calculation:

In order to determine whether the number 3 is a solution of the equation:

  $7c-\left(-5\right)=26$

Substitute 3 for c in given equation, as

  $\begin{array}{c}7\left(3\right)-\left(-5\right)=26\\ \Rightarrow 21+5=26\\ \Rightarrow 26=26\end{array}$

Since, an identity $26=26$ is arrived. Thus, the number 3 satisfies the given equation.

Thus, the number 3 is a solution of given equation.