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Warm-Up: Problem of the Day Julie has dimes and quarters in her pocket. She has 24 coins in total. If the number of dimes is 3 less than twice the number of quarters, find the number of each type of coin. – Define 2 variables and write a system of equations to model this situation – Solve this system using substitution

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Check Homework: #14. Let x be the speed of the plane; let y be the speed of the wind x + y = 300x – y = 200 #16. Let w be the width; Let l be the length 2w + 2l = 40l = w + 2 #17. Let x be the number mailed in N.A.; Let y be the number mailed outside N.A. x + y = 10400.46x + 0.48y = 483 # 18. Let m be money; let n be number of filters sold Cost: m = 1250 + 40nRevenue: m = 60n

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Unit 1 Solving Linear Systems by Elimination Learning Goal: I can solve a system of linear equations algebraically, using the method of elimination

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Solving by Elimination

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Steps for Solving by Elimination 1)Match the numbers in front of x’s or y’s (may have to multiply one equation or both by a factor) 2)Eliminate one variable by adding or subtracting (elimination) 3)Solve for one variable 4)Substitute to find remaining variable 5)Check solution in opposite equation 6)State solution

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Solving by Elimination

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Homework Pg. 102 # 4, 6(a,c,e,g,i), 14 Solve all questions in #6 and 14 using elimination

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