Solving Linear Equations

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What is a linear equation?

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What does it mean if an equation has infinite solutions?

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An equation has infinite solutions when any value of the variable satisfies the equation. This occurs when both sides of the equation are equivalent after simplification.

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What does it mean if an equation has no solution?

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What is the process of isolating a variable in an equation?

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Isolating a variable involves rearranging the equation to get the variable on one side and the constants on the other side, typically by using inverse operations.

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How do you check if your solution to a linear equation is correct?

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To check if your solution is correct, substitute the value back into the original equation and verify if both sides are equal.

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

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The slope indicates the steepness of the line and the direction of the relationship between the variables. A positive slope means the line rises, while a negative slope means it falls.

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What is the standard form of a linear equation?

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