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Introduction to System of Equations and Points of Intersection
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System of Equations Point of Intersection
Where two curves cross. Can be written as a coordinate point or (x,y). This point is on BOTH curves. System of Equations A collection of two or more curves with the same variables. For example:
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Buying Bicycles Latanya and George are saving up money to buy new bicycles. Latanya opened a savings account with $50. She is determined to save an additional $30 a week. George started a savings account with $75. He is able to save 25 a week. When will they have the same amount in their savings accounts? Solution Method 2: Create one Graph for both Money (y) depends on the weeks (x) it has been saved Solution Method 1: Create tables Latanya George Weeks Dollars Weeks Dollars Dollars 50 75 1 80 1 100 5 weeks 2 (5, 200) The solution is where the two curves intersect 2 110 125 3 140 3 150 4 170 4 175 The answer is where the input AND the output are identical 5 200 5 200 6 230 6 225 Weeks 7 260 7 250 Use the tables to set up a good window
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