Linear Equations Solutions

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What is a linear equation?

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What does it mean for an equation to have one solution?

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An equation has one solution when there is exactly one value of the variable that makes the equation true.

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What does it mean for an equation to have infinitely many solutions?

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An equation has infinitely many solutions when any value of the variable satisfies the equation, often occurring when both sides of the equation are equivalent.

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What does it mean for an equation to have no solutions?

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An equation has no solutions when there is no value of the variable that can satisfy the equation, often resulting in a contradiction.

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What is the graphical representation of a linear equation?

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The graphical representation of a linear equation is a straight line on a coordinate plane, where each point on the line represents a solution to the equation.