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Unformatted text preview: 7x – 17 = 4 + 7(x3) 7x – 17 = 4 + 7x – 21 7x – 17 = 7x – 177x + 7x – 17 = 7x + 7x – 1717 = 17 Every real number is a solution. There are infinitely many solutions. How do you know when an equation has no solution? Consider: 3 + x = x + 8 3 + x = x + 8x + 3 + x = x + x + 8 3 = 8 We end with a false equation. The original equation is false for all real number replacements. Thus it has no solutions. Using the distributive law to multiply and remove parentheses 3x + 4(x + 2) = 11 + 7x 3x + 4x + 8 = 11 + 7x 7x + 8 = 11 + 7x 7x + 8 – 7x = 11 + 7x – 7x 8 = 11...
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This note was uploaded on 06/26/2011 for the course MAT 116 taught by Professor Universityofphoenix during the Spring '09 term at University of Phoenix.
 Spring '09
 UniversityofPhoenix
 Algebra

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