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

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

 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 22  x + 2y = 6  0 + 2(-1)  0 – 2  -2 EXAMPLE 1: CHECKING SOLUTIONS  (2,2)  3x – 2y = 2  3(2) – 2(2)  6 – 4 22  x + 2y = 6  2 + 2(2)  2 + 4 66

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.

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

 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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