Objectives: To solve systems of equations by graphing.

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Presentation transcript:

Objectives: To solve systems of equations by graphing

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

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

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

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

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

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

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

Textbook Page 367; #13 – 18 all

Objectives: To solve systems of equations by graphing

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?

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?

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

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

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

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

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

6 – 1 Worksheet