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) 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) 66
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 even 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 = 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