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481511196759001.I can solve a system of linear equations by graphing on paper and using a calculator.2.I can set up a system of linear equations to model a real-world situation.9728368596Systems of EquationsA collection of two (or more) equations with the same variables.Solutions of systems of equations are the variable values that make every equation true.Three ways to solve systems of equationsThree Possible SolutionsNumber of SolutionsOne solutionNo solutionInfinitely many solutionsIntersectionsOne intersectionNo intersection (Parallel)Many Intersections (Overlap)Examplesy=2x-5y=-x+6y=23x+5y=23x-3y=13x-13y=x-3GraphsSlope/y-interceptIs it possible to identify solutions clearly by graphing for all systems of equations?00Systems of EquationsA collection of two (or more) equations with the same variables.Solutions of systems of equations are the variable values that make every equation true.Three ways to solve systems of equationsThree Possible SolutionsNumber of SolutionsOne solutionNo solutionInfinitely many solutionsIntersectionsOne intersectionNo intersection (Parallel)Many Intersections (Overlap)Examplesy=2x-5y=-x+6y=23x+5y=23x-3y=13x-13y=x-3GraphsSlope/y-interceptIs it possible to identify solutions clearly by graphing for all systems of equations?Example 1 y=2x-5First, rewrite each equation into slope-intercept form (usually easiest to graph)x+3y=27-245412816700Then graph each equation and find the intersection. Check your answer using the original equations.Solution(s):____________________________________Example 2 y=12x-52y-x=406794500 Solution(s):____________________________________Example 3y+7=-3(x-1)3x+y=-4-165718161000Solution(s):____________________________________Solve each system of equations by graphing.1.y=-3x+102.2x-y=-1y=x-24x-2y=635236151257300044704012446000Solution(s):________________ Solution(s):________________3.2x+y=84.y+3=2(x+4)y=-42y-4x=1035236151257300044704012446000Solution(s):________________ Solution(s):________________Determining if each point is a solution to each system of equations.37649151479556.Is the point -3,0 a solution to the following system?2x-y=-6x+y=-36.Is the point -3,0 a solution to the following system?2x-y=-6x+y=-35.Is the point (2,1) a solution to the following system? 3x-2y=6x+y=2Determine how many solutions (one, infinite, or none) exist for each system without actually solving it.7.y=2x-18.y=x-19.y=-32xy=2x+8y=4x-9-2y=3xWrite a system of equations to represent the problem and solve by graphing.10. Kirma bought 12 feet of framing material to make a rectangular frame for her oil painting. She uses all the framing material and the length is twice the width.51593755397500*How can we use a graphing calculator to find solutions?*Extra PracticeTextbook p. 336 # 16 – 24 ................
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