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Section 2-4

Equations With Variables on Both Sides



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What You'll Learn

  1. To solve equations with variables on both sides
  2. To identify equations that are identities or have no solution

… And Why

To solve a problem involving renting in-line skates, as in Example 2


 

Investigation Click here to view the Investigation for this lesson.

Objective 1

Solving Equations With Variables on Both Sides


using a table to solve an equation

To solve an equation that has variables on both sides, use the Addition or Subtraction Properties of Equality to get the variables on one side of the equation.

image of a large, green question mark Need Help?

Vertical angles are congruent, so their measures are equal.

Example 1 Variables on Both Sides

GeometryFind the value of x in the diagram below.

solution to the value of x

Example 2 Real-World globe Connection

skate rental

RecreationYou can buy used in-line skates from your friend for $40, or you can rent some. Either way, you must rent safety equipment. How many hours must you skate for the cost of renting and buying skates to be the same?

solution

Algebra 1 iText

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Chapter 2
Solving Equations