Solving Systems by Substitution

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Solving Systems by Substitution Notes 5.3, Date_______ Friday, November 14, 2014 9:08 AM Solving Systems by Substitution

To Solve by substitution 1) Solve one equation for a variable 2) substitute 3) Solve 4) Solve for remaining variable

2 3 1 4 Solve: (-x + 5) + 2x = 11 y = -2x +11 x + 5 = 11 y =-x + 5 -6 -6 y = -1 Solution: (6, -1)

2 3 1 4 Solve: 2(-2y+2) + 3y = -1 x + 2y = 2 -4y+4+3y = -1 Solution: (-8, 5)

2 3 1 4 Solve: 3(-x + 5) + 3x = 9 3y + 3x = 9 -3x+15+3x = 9 x + y = 5 15 = 9 y = -x + 5 False 4 No need to go further!! Solution: No Solution

2 3 1 4 Solve: 2(-x + 2) + 2x = 4 2y + 2x = 4 -2x+4+2x = 4 x + y = 2 4 = 4 y = -x + 2 True 4 No need to go further!! Solution: Infinite Number of Solutions