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Transcript
Write the equation of the line… Write the equation of the line… Through (4, 5) and (6, 9) Write the equation of the line… Write the equation of the line… Solve by Graphing Section 3.1 According to one plan, the repair cost is $50 plus $10per hour. Another plan is $75 plus $5 per hour. Which plan should I choose? When are they the same? System of Equations Consists of 2 or more equations with 2 or more variables Solution A point (x, y) is said to be a solution to a system of equations if it satisfies both equations. Given: 6 x 9 y 15 x y 4 Is (9, 5 ) a solution? Is (7, 3) a solution? Definitions Consistent – has at least one solution Dependent – Infinite number of solutions Independent – has exactly one solution Inconsistent – has no solution Consistent Consistent Independent Dependent Inconsistent Solve by graphing: y 3x 2 x 3y 4 Solve by graphing: x 4 y 20 6 x 4 y 8 Solve by graphing: 4 x 3 y 9 8 x 6 y 12 To Solve with the calculator: First Solve each equation for y Press y= and put the first equation into y1 and the 2nd equation into y2 Press 2nd TRACE - #5 intersect Solve w/Calculator: y 3x 2 9 x 3 y 6 Solve w/Calculator: Solve w/Calculator: Solve w/Calculator: Solve w/Calculator: Homework Worksheet
