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Solving System of Equations that have 0, 1, and Infinite Solutions

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Presentation on theme: "Solving System of Equations that have 0, 1, and Infinite Solutions"— Presentation transcript:

1 Solving System of Equations that have 0, 1, and Infinite Solutions

2 One Solution Solve the following system of equation algebraically and graphically: The lines only intersect once since there is one solution. Both equations equal y. Set them equal to each other.

3 No Solution No Solution.
Solve the following system of equation algebraically and graphically: The two lines are parallel. They never intersect. Add the equations to eliminate a variable: No Solution.

4 Every point that satisfies:
Infinite Solutions Solve the following system of equation algebraically and graphically: The two equations are equivalent. They lie on top of each other. They intersect everywhere. True Infinite Solutions. Every point that satisfies: THE LINES COINCIDE


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