1.3: Solving Linear Equations

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1.3: Solving Linear Equations 11/19/2018 Solving Linear Equations Section 1.3 11/19/2018 7:53 AM 1.3: Solving Linear Equations

1.3: Solving Linear Equations 11/19/2018 What does linear mean? A variable which is raised by the first power An equation is a statement that two expressions are equal Equation is a mathematical statement that two expressions are equivalent. The solution set of an equation is the value/s of the variable that make the equation true. 11/19/2018 7:53 AM 1.3: Solving Linear Equations

1.3: Solving Linear Equations 11/19/2018 II. Steps Move the term and variables onto one side Isolate the variable by dividing and/or using the reciprocal Check 11/19/2018 7:53 AM 1.3: Solving Linear Equations

1.3: Solving Linear Equations Example 1 11/19/2018 Solve 11/19/2018 7:53 AM 1.3: Solving Linear Equations

1.3: Solving Linear Equations Example 2 11/19/2018 Solve 11/19/2018 7:53 AM 1.3: Solving Linear Equations

1.3: Solving Linear Equations Your Turn 11/19/2018 Solve 3x– 14x + 25 = 2 – 6x – 12 {7} 11/19/2018 7:53 AM 1.3: Solving Linear Equations

1.3: Solving Linear Equations Example 3 Solve 11/19/2018 7:53 AM 1.3: Solving Linear Equations

1.3: Solving Linear Equations Example 4 11/19/2018 Solve 3x – 9 – 4x = – (5 + x) 3x – 9 – 4x = –(5 + x) –9 – x = –5 – x + x + x –9 ≠ –5 x 11/19/2018 7:53 AM 1.3: Solving Linear Equations

1.3: Solving Linear Equations Example 5 11/19/2018 Solve 2(x – 6) = –5x – 12 + 7x 2(x – 6) = –5x – 12 + 7x 2x – 12 = 2x – 12 –2x –2x –12 = –12  11/19/2018 7:53 AM 1.3: Solving Linear Equations

1.3: Solving Linear Equations Your Turn Solve 11 + 3x – 7 = 6x + 5 – 3x 11/19/2018 7:53 AM 1.3: Solving Linear Equations

1.3: Solving Linear Equations Example 6 It takes you 8 minutes to wash a car and it takes a friend 6 minutes to wash a car. How long does it take the two of you to wash 7 cars if you work together? Rate (car/min) Time (Min) Friend’s Rate Time (Min) Cars 11/19/2018 7:53 AM 1.3: Solving Linear Equations

1.3: Solving Linear Equations Example 6 It takes you 8 minutes to wash a car and it takes a friend 6 minutes to wash a car. How long does it take the two of you to wash 7 cars if you work together? 11/19/2018 7:53 AM 1.3: Solving Linear Equations

1.3: Solving Linear Equations Your Turn Suppose it takes you 9 minutes to wash a car and it takes your friend 12 minutes to wash a car. How long does it take the two of you to wash 7 cars if you work together? 11/19/2018 7:53 AM 1.3: Solving Linear Equations

1.3: Solving Linear Equations Assignment Pg 21: 3-19 EOO, 21-31 odd, 33-49 EOO, 63-66 all 11/19/2018 7:53 AM 1.3: Solving Linear Equations

1.3: Solving Linear Equations 11/19/2018 7:53 AM 1.3: Solving Linear Equations