No Solution, One Solution, Infinite Solutions

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What does it mean when an equation has 'No Solution'?

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An equation has 'No Solution' when there are no values that can satisfy the equation. This often occurs when simplifying leads to a false statement, such as 0 = 5.

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What does it mean when an equation has 'One Solution'?

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An equation has 'One Solution' when there is exactly one value that satisfies the equation. This is the most common case in linear equations.

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What does it mean when an equation has 'Infinite Solutions'?

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An equation has 'Infinite Solutions' when any value can satisfy the equation. This occurs when both sides of the equation are equivalent after simplification.

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One Solution: m = 1.

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No Solution.

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No Solution.

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Infinite Solutions.

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No Solution.

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What is a linear equation?

Back

Front

What is the significance of the coefficients in a linear equation?

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Coefficients determine the slope and position of the line represented by the equation. They affect how steep the line is and where it intersects the axes.