Solving Equations - types of solutions

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What is a linear equation?

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What does it mean if an equation has no solution?

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An equation has no solution when there are no values for the variable that can satisfy the equation. This often occurs when two lines are parallel.

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What does it mean if an equation has infinite solutions?

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An equation has infinite solutions when any value for the variable satisfies the equation. This occurs when two equations represent the same line.

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No Solution.

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Infinite Solutions.

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Infinite Solutions.

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What is a solution set?

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A solution set is the set of all values that satisfy a given equation.

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What is a contradiction in equations?

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A contradiction occurs when an equation simplifies to a false statement, indicating no solutions exist.

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What is an identity in equations?

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An identity is an equation that is true for all values of the variable, indicating infinite solutions.