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Objectives: To solve systems of equations by graphing

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Two or more linear equations System of Linear Equations: Solution of a System of Linear Equations: Any ordered pair that makes ALL of the equations in the system true

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1) Graphing find the intersection point (if one exists) 2) Substitution 3) Elimination

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A)Solve the system of equations by graphing. Check your solution. y = x + 2 y = x + 2 y = 3x 2

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B)Solve the system of equations by graphing. Check your solution. y = 2x + 4 y = 2x + 4 y = x + 2

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C)Solve the system of equations by graphing. Check your solution. y = x + 1 2x + y = 10

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D)Solve the system of equations by graphing. Check your solution. x + y = 4 2x y = 2

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Solve the system of equations by graphing. Check your solution. -3x + y = 5 y = -7

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Textbook Page 367; #13 18 all

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Objectives: To solve systems of equations by graphing

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A)Scientists studied the weights of two alligators over a period of 12 months. The initial weight and growth rate of each alligator are shown below. After how many months did the alligators weigh the same amount?

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B)Suppose one puppy weighs 5 pounds at birth and grows at a rate of 0.25 pound per month over the first several months. Another puppy weights 4 pounds at birth and grows at a rate of 0.5 pound per month. After how many months will the puppies weigh the same amount?

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A system of equations that has at least one solution Consistent System: Inconsistent System: A system of equations that has no solution Independent: exactly one Dependent: infinitely many

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A)Solve the system by graphing. Tell whether the system has one solution, infinitely many solutions, or no solution.

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B)Solve the system by graphing. Tell whether the system has one solution, infinitely many solutions, or no solution.

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C)Solve the system by graphing. Tell whether the system has one solution, infinitely many solutions, or no solution.

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Solve the system of equations by graphing. Tell whether the system has one solution, infinitely many solutions, or no solution. y = 3x 3 3y = 9x 9

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6 1 Worksheet