Chapter 8.1, Problem 1GP

To determine

The solution of the equation $1.3c=-65$ ,

Answer to Problem 1GP

  $c=-50$

Explanation of Solution

Given:

The equation, $1.3c=-65$

Concept Used:

• To get rid of a number in addition from one side, subtract the same number from both sides of equal sign.
• To get rid of a number in subtraction from one side, add the same number both sides of equal sign.
• To get rid of a number in multiplication from one side, divide the same number from both sides of equal sign.
• To get rid of a number in division from one side, multiply the same number both sides of equal sign.

Rules of Addition/ Subtraction:

• Two numbers with similar sign always get added and the resulting number will carry the similar sign.
• Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.

Rules of Multiplication/ Division:

• The product/quotient of two similar sign numbers is always positive.
• The product/quotient of two numbers with opposite signs is always negative.

Calculation:

In order to solve the given equation $1.3c=-65$ for the variable, isolate the variable term c on one side by performing some basic algebraic operations to get rid of the other numbers and terms associated with it.

Here to isolate c on left side, first divide both sides by 1.3 and then simplify further as shown below,

  $\begin{array}{l}1.3c=-65\\ \frac{1.3c}{1.3}=\frac{-65}{1.3}\\ c=-50\end{array}$

Thus, the solution of the given equation is $c=-50$ .