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Warm Up Find the solution to each linear system.
–x + y = 3 2) y = 2x + 0 x + y = x – y = 8 3) -3x + 5y = 7 4) -2x – 6y = -12 3x – 5y = x + 6y = 12
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Systems of Linear Inequalities
6.8 Systems of Linear Inequalities Goal Graph a system of linear inequalities
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y= __ x + __ . Where __ is equal to
Slope-Intercept Form y= __ x + __ . Where __ is equal to the ____. While the __ is equal to the __ intercept. Inequality Signs < < > > m slope m b b y Less than or equal to Less than Greater than or equal to Greater than
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Graph a System of Two Linear Inequalities (y = mx + b)
EXAMPLE 1 Graph the system of linear inequalities. x y m = -1 , b = 3 m = 1/2, b = -2
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Graph a System of Two Linear Inequalities
EXAMPLE 2 Graph the system of linear inequalities. x y
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Graph the system of linear inequalities.
Try It Out!!! EXAMPLE 3 Graph the system of linear inequalities. x y
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Homework Page 343 #7 – 15 Choose Any 3 Problems
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7.4 Linear Systems & Problem Solving
1. Indicate what each variable stands for. Write a system of 2 equations that can be used to solve the problem. Solve the system.
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Example #1 1. You are selling tickets for a high school basketball game. Student tickets cost $3 and general admission tickets cost $5. You sell 350 tickets and collect $ How many of each type of ticket did you sell?
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Homework Finish Worksheet
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