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AFDA – Unit 2: Linear Functions Part 2 Day 4 Notes: Solving Systems by Graphing Name: _________________ Block: _____ Date:_______ Today… Find the solutions to linear systems by graphing Work out some practice problems Solve systems on our calculator Linear System:____________________________________________________ Solution to a Linear System:_________________________________________ Method #1: Solving systems by graphing: ___________ both equations on the same coordinate plane. See if you can identify where the lines _________________. ___________ this intersection point in both of the equations to determine whether or not it is a solution to the system. 1) – x + y = -7 x + 4y = -8 Solution:_________ 2) y = 5x y = -5x + 10 Solution:___________ Practice Problems 3) – x + 2y = 3 y = -2x + 4 4) x – y = 5 3x + y = 3 Solution: ____________ Solution: ___________ Determine whether or not the given point is a solution to the system. 1) (3,9) 2) (-3,-2) 3) (2,5) y = 2x + 3 x+y=1 y = -3x + 1 y = -3x + 18 y = 2x – 5 -5x + y = -31 On the calculator… Solve each function for y Type the equations Y1 and Y2 Adjust the window so that you can see the intersection point on the screen Use the 2nd Calc, Intersect function to find the intersection point Try it: 4) – x + y = -2 y = 2x – 6 Y1 = ____________ Y2 = ____________ 5) 3x + 2y = 2 -3x + y = -11 Y1 = ____________ Y2 = ____________ 6) 2x – y = -5 y = -x – 5 Y1 = ____________ Y2 = ____________