Algebra 1: Concepts and Skills

Home > Algebra 1: Concepts and Skills > Chapter 3 > 3.2 Solving Equations Using Multiplication and Division

Chapter 3 : Solving Linear Equations
3.2 Solving Equations Using Multiplication and Division

3.2 Extra Example

#### 3.2 Problem Solving Help

Help for Exercises 37-45 on page 142

In Exercises 37-45, the equation you are asked to solve includes a fractional coefficient. So, multiply both sides of the equation by the reciprocal of the coefficient of the variable term. Remember that the product of a number and its reciprocal is -1. Given a fraction of the form , its reciprocal can be written as , unless a = 0. For example, the reciprocal of is

It may also be helpful to rewrite integers as fractions with a denominator of 1. For example, 10 = x can be rewritten as x. This will help you keep track of the factors that are in the numerator and the factors that are in the denominator.

* PLEASE NOTE: To view our Extra Example pages, you must have the Adobe Acrobat Reader installed on your computer. You may download the Reader by clicking here if you do not already have it installed.