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MRS. SPANIER ALGEBRA 1 Solving Systems by Elimination.

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Presentation on theme: "MRS. SPANIER ALGEBRA 1 Solving Systems by Elimination."— Presentation transcript:

1 MRS. SPANIER ALGEBRA 1 Solving Systems by Elimination

2 Solve Using Elimination 2x + y = 5 -2x + 3y = 7 + 4y = 12 y = 3 2x + 3 = 5 2x = 2 x = 1 POI = (1, 3)

3 Solve Using Elimination 1. -x + 2y = -8 x + 6y = y = -24 y = -3 x + 6(-3) = -16 x - 18 = -16 x = 2 POI = (2, -3)

4 Solve Using Elimination 2. x + 3y = 1 -5x + 3y = 7 - 6x = -6 x = -1 2(-1) + 3y = y = 1 3y = 3 y = 2/3 POI = (-1, 2/3)

5 Solve the system. 2x + y = 5 -2x + 3y = 7 -2x + 3(-2x + 5) = 7 -2x – 6x + 15 = 7 -8x + 15 = 7 -8x = -8 x = 1 2(1) + y = y = 5 y = 3 POI = (1, 3) HW check today!

6 Solve Using Elimination 2. x + 3y = 1 -5x + 3y = 7 - 6x = -6 x = y = 1 3y = 2 y = 2/3 POI = (-1, 2/3) x + 3y = 1 -5x + 3y = 7

7 OR… 2. x + 3y = 1 -5x + 3y = x = 6 x = y = 1 3y = 2 y = 2/3 POI = (-1, 2/3) -1( ) -x + -3y = -1 -5x + 3y = 7

8 Solve using elimination 3.2x + y = 3 -x + 3y = x + y = 3 -2x + 6y = -24 7y = -21 y = -3 2( ) 2x + (-3) = 3 2x = 6 x = 3 POI = (3, -3)

9 Solve using elimination 4.4x – 3y = 15 2x – 3y = 9 - 4x – 3y = 15 4x – 6y = 18 3y = -3 y = -1 2( ) 4x – 3(-1) = 15 4x + 3 = 15 4x = 12 x = 3 POI = (3, -1)

10 Solve using elimination 4x + 5y = 35 2y = 3x – x + 15y = x + 8y = y = 69 y = 3 3( ) 4x +5(3) = 35 4x + 15 = 35 4x = 20 x = 5 POI = (5, 3) 4( )

11 Solve using elimination 5. 3x = -6y x + 3y = x – 4y = 3 2x + 8y = u = 4v + 8 3v = 5u – 13 POI = (0, 2) POI = ( ⅓, -⅓ ) POI = (2, -1)

12 Solve using any method. 2x + 5y = -24 3x – 5y = 14 POI = (-2, -4) HW check today!


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