How many solutions??

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What does it mean if an equation has no solution?

Back

It means that there is no value for the variable that can satisfy the equation. For example, the equation 4=8 has no solution.

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What does it mean if an equation has one solution?

Back

It means that there is exactly one value for the variable that satisfies the equation. For example, the equation X=0 has one solution.

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What does it mean if an equation has infinitely many solutions?

Back

It means that there are countless values for the variable that can satisfy the equation. For example, the equation -5=-5 is true for all values.

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What is an example of an equation with no solution?

Back

An example is 4=8, which is a false statement.

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What is an example of an equation with one solution?

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An example is 2=X, where X equals 2.

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What is an example of an equation with infinitely many solutions?

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An example is -5=-5, which is always true regardless of the variable.

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How can you determine if an equation has no solution?

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If simplifying the equation leads to a false statement, such as 4=8, it has no solution.

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How can you determine if an equation has one solution?

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If simplifying the equation leads to a true statement with a specific value for the variable, it has one solution.

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How can you determine if an equation has infinitely many solutions?

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If simplifying the equation leads to a true statement that is always true, such as -5=-5, it has infinitely many solutions.

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What is the significance of the equation X=0?

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It indicates that the variable X has a specific value, which is 0, making it a case of one solution.