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

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Presentation transcript:

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

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.

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.

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