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I can solve a two variable system by graphing. 3.1 SOLVING LINEAR SYSTEMS BY GRAPHING. YOU NEED GRAPH PAPER TODAY.

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y = mx + b y = 2x + 3 GRAPHING REVIEW y-intercept slope

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Check whether (2,2) and (0,-1) are solutions to the following system. 3x – 2y = 2 x + 2y = 6 (0,-1) 3x – 2y = 2 3(0) – 2(-1) 0 - -2 22 x + 2y = 6 0 + 2(-1) 0 – 2 -2 EXAMPLE 1: CHECKING SOLUTIONS (2,2) 3x – 2y = 2 3(2) – 2(2) 6 – 4 22 x + 2y = 6 2 + 2(2) 2 + 4 66

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EXAMPLE 2: SOLVING A SYSTEM BY GRAPHING Graphing by hand is not always an effective way to get the intersection. A better way is to use your calculator to graph and get the intersection.

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THERE CAN ALSO BE SYSTEMS WITH MANY OR NO SOLUTIONS. MANY NONE

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Textbook Pg. 142-144 12-18 even 32-34 42, 43, 46, 56 When you are finished, check your work with me to get credit. REMEMBER: if you do not show me or if you do not get credit, you owe me your break time after class!!!! Start on the homework assignment. HOMEWORK 1.Check if (2,-5) is a solution of: 7x + 4y = -6 6x + 5y = -11 2.Graph the system and estimate the solution. x + y = 1 x – 3y = 5 3.How many solutions? If one solution, estimate the solution. 7x + 5y = 10 y = 7x + 2 CLASSWORK WITH YOUR TABLE PARTNER

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Warm Up # 1 The perimeter of a rectangle is 32. The length is 1 more than twice the width. What are the dimensions of the rectangle? Solve the system:

Warm Up # 1 The perimeter of a rectangle is 32. The length is 1 more than twice the width. What are the dimensions of the rectangle? Solve the system:

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