Solve System by Linear Combination / Addition Method

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Presentation transcript:

Solve System by Linear Combination / Addition Method Objectives: To solve a system of equations using the Linear Combination Method

Example 1 (5,-2) Solve using the addition method. x – y = 7 x + y = 3

Example 2 (4,1) Solve using the addition method. 2x + 3y = 11

Practice Solve using the addition method. 1) 2)

Example 3 Solve using the addition method. 3x – y = 8 x + 2y = 5 write in standard form (-3) ( ) ( ) x + 2y = 5 (-3) multiply as needed 3x – y = 8 -3x – 6y = -15 addition property -7y = -7 3x - (1) = 8 y = 1 3x = 9 x = 3 (3,1)

Example 4 Solve using the addition method. 8x + 2y = -10 write in standard form (-2) ( ) ( ) 4x – 3y = 15 (-2) multiply as needed 8x + 2y = -10 addition property -8x + 6y = -30 8y = -40 8x + 2(-5) = -10 8x - 10 = -10 y = -5 8x = 0 x = 0 (0,-5)

Practice Solve using the addition method. 1) 2)