Do-Now 02-10-2016 On your notes worksheet!!! Graph: 3x + y = 6 m = b =

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Presentation transcript:

Do-Now On your notes worksheet!!! Graph: 3x + y = 6 m = b =

Objective: Solve a system of equations using graphing.

Definitions: System of equations: A set of two or more linear equations in the same variables. Solution: An ordered pair of numbers that is a solution to each equation in the system.

Checking Solutions: Example: Tell whether the ordered pair is a solution of the system of linear equations 1. x + y = 6Ordered Pair: (5, 1) 2x – y = 9

2. y = -x + 2 Ordered Pair: (-1, -5) y = 3x – 2 Checking Solutions: Example: Tell whether the ordered pair is a solution of the system of linear equations

Steps to Solving a System of Equations using GRAPHING: A. Graph each equation in the same coordinate plane. B. Estimate the point of intersection. C. Check the point from Step B in each equation.

How it works!! Answer: (3, 2)

Examples: Solve by graphing: 3.

Examples: Solve by graphing: 4.

Examples: Solve by graphing: 5.

Solve Using the Graphing Calculator 6.

Solve Using the Graphing Calculator 7.

Word Problem: 8. For the first tour on Monday, a museum sells 4 child tickets and 8 adult tickets for $80. For the second tour, the museum sells 6 adult tickets for $48. Find the price of one child ticket and the price of one adult ticket.