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CHAPTER_ppt_4_2

CHAPTER_ppt_4_2 - 4.2 Solving Systems of Linear Equations...

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§ 4.2 Solving Systems of Linear Equations by Substitution

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Martin-Gay, Beginning and Intermediate Algebra, 4ed 2 The Substitution Method Another method (beside getting lucky with trial and error or graphing the equations) that can be used to solve systems of equations is called the substitution method . You solve one equation for one of the variables, then substitute the new form of the equation into the other equation for the solved variable.
Martin-Gay, Beginning and Intermediate Algebra, 4ed 3 Solve the following system using the substitution method. 3 x y = 6 and – 4 x + 2 y = –8 Solving the first equation for y , 3 x y = 6 y = –3 x + 6 Subtract 3 x from both sides. y = 3 x – 6 Multiply both sides by 1. Substitute this value for y in the second equation. –4 x + 2y = –8 –4 x + 2(3 x – 6) = –8 Replace y with result from first equation. –4 x + 6 x – 12 = –8 Use the distributive property. 2 x – 12 = –8 Simplify the left side.

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CHAPTER_ppt_4_2 - 4.2 Solving Systems of Linear Equations...

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