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Algebra 1: Concepts and Skills
 
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Return to book index Chapter 3 : Solving Linear Equations
3.2 Solving Equations Using Multiplication and Division

3.2 Extra Example

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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.




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