Solving Equations with No and Infinite Solutions

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What is an equation with no solution?

Back

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What is an equation with infinite solutions?

Back

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Back

m = -4.

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Back

No solution.

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Back

Infinite solutions.

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w = -3.

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Back

No solution.

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What does it mean if an equation simplifies to a true statement like 0 = 0?

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It means the equation has infinite solutions, as it holds true for all values of the variable.

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What does it mean if an equation simplifies to a false statement like 0 = 5?

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It means the equation has no solution, as there is no value of the variable that can make the equation true.

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What is the first step in solving linear equations?

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The first step is to isolate the variable on one side of the equation by performing inverse operations.