Solving Systems of Equations by Multiplying First - Elimination

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Presentation transcript:

Solving Systems of Equations by Multiplying First - Elimination November 2, 2011 Today is a B day!

Warm-up: Evaluate using Elimination 4x - 9y = -21 4x + 3y = -9

Creating Equivalent Equations: 5x + 2y = 16 3x - 4y = 20 In a linear system like the one below, neither variables can be eliminated. For these systems, you will have to multiply one or both equations by a constant so that adding or subtracting eliminates a variable.

Example 1: 6x + 5y = 19 2x + 3y = 5

Example 2: 2x - 9y = 1 7x - 12y = 23

Example 3: Darlene is making a quilt that has alternating stripes of regular quilting fabric and sateen fabric. She spends $76 on a total of 16 yards of the two fabrics at a fabric store. Write a system of equations that can be used to find the amount x (in yards) of regular quilting fabric and the amount y (in yards) of sateen fabric she purchased. The cost of Sateen fabric is $6 per yard and the cost of quilting fabric is $4 per yard.

Pgs. 452 - 453 Guided Practice 1-4