Warmup Solve the following system using SUBSTITUTION:

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Presentation transcript:

Warmup Solve the following system using SUBSTITUTION:

Questions over hw?

Solve Systems of Equations by Elimination

Solve by Graphing Solution: (-1, 3)

Analyzing the Solution Does the solution still work if you multiply one or both of the equations by a number like 2 or -2? Solution: (-1, 3)

Steps for Elimination: Arrange the equations with like terms in columns Multiply, if necessary, to create opposite coefficients for one variable. Add/Subtract the equations. Substitute the value to solve for the other variable. Write your answer as an ordered pair. Check your answer.

EXAMPLE 1 (continued) (-1, 3)

EXAMPLE 2 3x + 2y = 5 -3x + 4y = -3.5 (1.5, 0.25)

EXAMPLE 3 2x – 3y = -2 -4x + 5y = 2 (2, 2)

EXAMPLE 4 -8x + 2y = 7 -4x + y = –16 No Solution

EXAMPLE 5 2x + 3y = 1 3x – 2y = 8 (2, -1)

Classwork (1, 1) (-3, 4) (-1, 2) (-1, 2) (4, -2) (-4, -2) (2, -1) Elimination Use elimination to solve each system of equations. 2x + 3y = 6 2. 2m + 3n = 4 3. 3a - b = 2 x + 2y = 5 -m + 2n = 5 a + 2b = 3 4x + 5y = 6 5. 4x – 3y = 22 6. 3x – 4y = -4 6x - 7y = -20 2x – y = 10 x + 3y = -10 4x – y = 9 8. 4a – 3b = -8 9. 2x + 2y = 5 5x + 2y = 8 2a + 2b = 3 4x - 4y = 10 (1, 1) (-3, 4) (-1, 2) (-1, 2) (4, -2) (-4, -2) (2, -1) (-1/2, 2) (2.5, 0)

Homework Practice Worksheet