Solving Systems of Equations: The Elimination Method Solving Systems of Equations: The Elimination Method Solving Systems of Equations: The Elimination.

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Solving Systems of Equations: The Elimination Method Solving Systems of Equations: The Elimination Method Solving Systems of Equations: The Elimination Method

Example 1 x – y = 7 x + y = 3 2x + 0y = 10 2x = 10 x = 5 x + y = 3 5 + y = 3 y = -2 (5,-2) Solve using the elimination method. REMEMBER: Always check your solution in the original equations!

Example 2 2x + 3y = 11 -2x + 9y = 1 0x + 12y = 12 12y = 12 y = 1 2x + 3y = 11 2x + 3(1) = 11 2x + 3 = 11 2x = 8 x = 4 (4,1) Solve using the elimination method.

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

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

Practice 1) Solve using the elimination method. 2) 3)4) 5)2x + ⅔y = 4 x - ½y = 7

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