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MRS. SPANIER ALGEBRA 1 Solving Systems by Elimination

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

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

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

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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 = 5 2 + y = 5 y = 3 POI = (1, 3) HW check today!

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

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

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Solve using elimination 3.2x + y = 3 -x + 3y = -12 + 2x + y = 3 -2x + 6y = -24 7y = -21 y = -3 2( ) 2x + (-3) = 3 2x = 6 x = 3 POI = (3, -3)

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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)

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Solve using elimination 4x + 5y = 35 2y = 3x – 9 + 12x + 15y = 105 -12x + 8y = -36 23y = 69 y = 3 3( ) 4x +5(3) = 35 4x + 15 = 35 4x = 20 x = 5 POI = (5, 3) 4( )

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Solve using elimination 5. 3x = -6y + 12 -x + 3y = 6 6. 5x – 4y = 3 2x + 8y = -2 7. 2u = 4v + 8 3v = 5u – 13 POI = (0, 2) POI = ( ⅓, -⅓ ) POI = (2, -1)

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

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: Solve using mental math. 1.3x = –18 ANSWER –6 ANSWER –10 2. b + 21 = 11 3. Simplify the expression 3 ( x + 2 ) – 4x + 1. ANSWER –x + 7.

: Solve using mental math. 1.3x = –18 ANSWER –6 ANSWER –10 2. b + 21 = 11 3. Simplify the expression 3 ( x + 2 ) – 4x + 1. ANSWER –x + 7.

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