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Math 015 Section 6.1 Equations

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Many students like to remember the process for solving linear equations as: any algebra expressions on each side variable terms on one side and constants on the other side by the coefficient of the variable

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Obj: To solve an equation of the form x + a = b Question: Solve x + 2 = -9 Solution:x + 2 = -9 x = -9 – 2 x = -11 Question: Solve x – 21 = -5 Solution:x – 21 = -5 x = -5 + 21 x = 16

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Obj: To solve an equation of the form ax = b Question: Solve 6x = 14 Solution: 6x = 14 x = 14 6 x = 7373

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Question: Solve x + 3 = 1 4 2 Solution: Obj: To solve an equation that contain fractions x + = 3434 1212 x = - 1414 4 1 4x+3=2 4x = 2 – 3 4x = -1

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Question: Solve x = 9 5 Solution: x5x5 x = 45 Obj: To solve an equation of the form x = b a = 9 5 1

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Question: Solve 3 x = 9 4 Solution: 3 x = 9 4 3x = 36 Obj: To solve an equation of the form ax = b x = 36 3 x = 12 4 1

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Equations with decimals Question: Solve t – 1.926 = -1.042 Solution: t – 1.926 = -1.042 t = -1.042 + 1.926 t = 0.884 Question: Solve 3.47 x = 7.1482 Solution: 3.47 x = 7.1482 x = 7.1482 3.47 x = 2.06

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Simplifying before solving Problem: Solve 15 + y – 7 = 9 – 14 Solution: 15 + y – 7 = 9 – 14 y + 8 = -5 y = -5 – 8 y = -13

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Simplifying before solving Problem: Solve 5x + 7x = 84 Solution: 5x + 7x = 84 12x = 84 x = 84 12 x = 7

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