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Lesson 5-4 Solving Special Systems
Obj: The student will be able to 1) Solve special systems of linear equations in two variables 2) Classify systems of linear equations and determine the number of solutions HWK: p even, 11 Vocab: 1) consistent system 2) inconsistent system 3) independent system 4) dependent system
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Solve and classify each system
Ex 1) y = x – 3 and x – y – 3 = 0
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Ex 2) y = -2x + 5 and 2x + y = 1
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Ex 3) x + 2y = -4 and -2(y + 2) = x
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Ex 4) y = -2(x – 1) and y = -x + 3
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Ex 5) Matt has $100 in a checking account and deposits $20 per month
Ex 5) Matt has $100 in a checking account and deposits $20 per month. Ben has $80 in a checking account and deposits $30 per month. Will the accounts ever have the same amount? If so, when? Explain.
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Classifications of Systems of Linear Equations
Consistent and Independent Consistent and Dependent Inconsistent Number of solution Exactly one Infinitely many None Description Different slopes Same slope Same y-intercept Different y- intercept Graph Intersecting lines Coinciding lines Parallel lines
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