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Published byToby Alan Copeland Modified over 7 years ago

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

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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.

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**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.

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**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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