Solve Linear Equations

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What is a linear equation?

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What does it mean if a linear equation has infinite solutions?

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It means that any value of the variable will satisfy the equation. This occurs when the two sides of the equation are equivalent for all values of the variable.

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What does it mean if a linear equation has no solution?

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It means that there is no value of the variable that can satisfy the equation. This occurs when the two sides of the equation are parallel lines.

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The first step is to simplify both sides of the equation, which shows that both sides are equal, leading to infinite solutions.

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How do you isolate a variable in an equation?

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To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

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The equation has infinite solutions because it simplifies to a true statement.

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What is the significance of checking each step when solving equations?

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Checking each step helps to identify errors and ensures that the solution is correct.

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What does it mean to make an error in solving an equation?

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Making an error means that a mistake was made in the process of manipulating the equation, leading to an incorrect solution.

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The equation has one solution.