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Published byDella Stokes Modified over 8 years ago
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1. Graph y = 2x – 3 2. Graph y = ½ x + 2 3. Graph 6x + 3y = 9 4. Graph x + 2y = -1
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Solve the following Equations 1. 5x + (3x – 5) = -25 2. 4x + 5 = -17 + 2x
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CCGPS Coordinate Algebra Day 15 (8-22-14) UNIT QUESTION: How do I justify and solve the solution to a system of equations or ine5ualities? Standard: MCC9-12.A.REI.1, 3, 5, 6, and 12 Today’s Question: Does multiplying an equation by a constant change the solution to a system of equations? Standard: MCC9-12.A.REI.5
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Solution: (-1, 3) Does the solution still work if you multiply one or both of the equations by a number like 2 or -2?
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1. Arrange the equations with like terms in columns 2. Multiply, if necessary, to create opposite coefficients for one variable. 3. Add/Subtract the equations. 4. Substitute the value to solve for the other variable. 5. Write your answer as an ordered pair. 6. Check your answer.
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4x + 3y = 16 2x – 3y = 8
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3x + 2y = 7 -3x + 4y = 5
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2x – 3y = -2 -4x + 5y = 2
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5x + 2y = 7 -4x + y = –16
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2x + 3y = 1 4x – 2y = 10
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Add/Subtract Use elimination to solve each system of equations. 1. -6x – 5y = -4 2. 3m – 4n = -14 3. 3a + b = 1 6x – 7y = -20 3m + 2n = -2 a + b = 3 4.-3x – 4y = -23 5. x – 3y = 11 6. x – 2y = 6 -3x + y = 2 2x – 3y = 16 x + y = 3 7.2a – 3b = -13 8. 4x + 2y = 6 9. 5x – y = 6 2a + 2b = 7 4x + 4y = 10 5x + 2y = 3
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Multiply Use elimination to solve each system of equations. 1.2x + 3y = 6 2. 2m + 3n = 4 3. 3a - b = 2 x + 2y = 5 -m + 2n = 5 a + 2b = 3 4.4x + 5y = 6 5. 4x – 3y = 22 6. 3x – 4y = -4 6x - 7y = -20 2x – y = 10 x + 3y = -10 7.4x – y = 9 8. 4a – 3b = -89. 2x + 2y = 5 5x + 2y = 8 2a + 2b = 3 4x - 4y = 10
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Practice Worksheet Work book: Pages 115 and 116 #1-14, not #6
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