Lesson 8-6 Solving Systems of Linear Equations by Graphing

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Lesson 8-6 Solving Systems of Linear Equations by Graphing Learning Target: I can graph and solve systems of linear equations HWK: p 370 1-7 all, 15, 16

Solve each linear system of equations by graphing. Check your answer. Ex 1) – x = - 1 + y x + y = 4

Ex 2) – x + y = 8 y – 8 = x

Ex 3) y = 2x – 7 3x + y = 3

Three possibilities for the graph of a system of two linear equations. Intersecting Lines Parallel Lines Same Line different slopes same slope same slope different intercepts different intercepts same intercept one solution no solution infinitely many solutions

Ex 4) A plane left Miami traveling 300 mi/hr Ex 4) A plane left Miami traveling 300 mi/hr. After the plane had traveled 1200 miles, a jet started along the same route flying 500 mi/hr. Graph the system of linear equations. How long after the jet takes off will it catch the plane? What distance will the jet have traveled?