6.1 solving systems by graphing - mr gilchrist...
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Objective: To Solve Systems of Equations by Graphing Content Standard: A.REI.6 Section 6.1
6.1 Solving Systems by Graphing
Warm-Up:Graph the following equations:
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Objective: To Solve Systems of Equations by Graphing Content Standard: A.REI.6 Section 6.1 2
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Objective: To Solve Systems of Equations by Graphing Content Standard: A.REI.6 Section 6.1 3
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Objective: To Solve Systems of Equations by Graphing Content Standard: A.REI.6 Section 6.1 4
System of Equations- Two or more linear equations form a system of
equations.- Any ordered pair that makes all of the equations in a
system true is a solution of a system of linear equations.
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Objective: To Solve Systems of Equations by Graphing Content Standard: A.REI.6 Section 6.1 5
Ex 1 Solving a system of equations by graphing.
What is the solution of the system? Use a graph.y=x+2y=3x-2
Think: How does graphing each equation help you find the solution to the system of equations?
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Objective: To Solve Systems of Equations by Graphing Content Standard: A.REI.6 Section 6.1 6
Ex 1 Solving a system of equations by graphing.
What is the solution of the system? Use a graph.y=x+2y=3x-2
Start by Graphing both lines:
y = x + 2
y = 3x - 2
Where do they intersect?Check your answer with BOTH equations.
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Objective: To Solve Systems of Equations by Graphing Content Standard: A.REI.6 Section 6.1
Got It?What is the solution of the system? Use a graph and check your answers:
y = 2x + 4y = x + 2
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Objective: To Solve Systems of Equations by Graphing Content Standard: A.REI.6 Section 6.1
- A system of equations that has at least one solution is consistent.
- A consistent system of equations is independent if it has exactly one solution.
- A consistent system of equations is dependent if it has infinite amount of solutions.
- A system of equations that has no solution is inconsistent.
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Objective: To Solve Systems of Equations by Graphing Content Standard: A.REI.6 Section 6.1 9
Think: Without graphing any equations, how could you tell how many solutions there will be?
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Objective: To Solve Systems of Equations by Graphing Content Standard: A.REI.6 Section 6.1
Ex 3: What is the solution of each system?A. 2y - x = 2
y=(½)x + 1
B. y = 2x + 2y = 2x - 1
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Objective: To Solve Systems of Equations by Graphing Content Standard: A.REI.6 Section 6.1
Satellite RadioOne satellite radio service charges $10 per month plus an activation fee of $20. A second service charges $11 per month plus an activation fee of $15. In what month was the cost of the service the same?
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Objective: To Solve Systems of Equations by Graphing Content Standard: A.REI.6 Section 6.1 12
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Objective: To Solve Systems of Equations by Graphing Content Standard: A.REI.6 Section 6.1
Homework: p.367 #13-20, 25-30, 34-36, 41
Before you leave today, you must show me you have the correct answers (with work) for problems: 17, 20, and 26. This is half your homework grade.
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