198 Chapter 2 Linear Equations and Inequalities Chapter 2 Summary Examples Example 1 is an equation with solution 4. Check: ✔ True 2142 1 9 Example 2 8 1 9 9 9 The solution is 17. x 5 12 x 5 5 12 5 x 17 Example 3 z 1.44 2.33 z 1.44 1.44 2.33 1.44 The solution is 0.89. Example 4 The solution is 16. x 16 Example 5 16 8y 16 8 2 y The solution is 2. 8y 8 4 3 3 4 x 12 4 3 3 4 x 12 z 0.89 2x 1 9 Key Concepts An equation is an algebraic statement that indicates two expressions are equal.A solution to an equation is a value of the variable that makes the equation a true statement.The set of all solutions to an equation is the solution set of the equation. A linear equation in one variable can be written in ax b c, where a 0 the form . Addition Property of Equality: If a b, then a c b c Subtraction Property of Equality: If a b, then a c b c Multiplication Property of Equality: If then a b, ac bc 1c 02 Division Property of Equality: If then a c b c a b, 1c 02 Addition, Subtraction, Multiplication, and Division Properties of Equality Section 2.1
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