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Graphing
- Solve each equation for y.
- Graph each line.
- Point of intersection is the solution.
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Substitution
- Solve for one variable in one of the equations.
- Substitute new equation into the other equation.
- Solve for remaining variable.
- Substitute into either of the original equations to find the other variable.
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Elimination
- Make one pair of variables opposites using multiplication.
- Add the equations together.
- Solve for remaining variable.
- Substitute into either of the original equations to find the other variable Topic
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Types of Systems
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One Solution
- Parallel Lines
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No Solutions
- Non-Parallel Lines
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Infinite Solutions
- Coincident (Overlapping) Lines