Solving Equations

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What is an equation?

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An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

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What does it mean to solve an equation?

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To solve an equation means to find the value(s) of the variable(s) that make the equation true.

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What is a linear equation?

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A linear equation is an equation of the first degree, meaning it has no variables raised to a power greater than one.

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x = 3

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What does it mean if an equation has infinite solutions?

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An equation has infinite solutions if every value of the variable satisfies the equation, indicating that the two sides are equivalent for all values.

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Infinite Solutions

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What does it mean if an equation has no solution?

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An equation has no solution if there are no values of the variable that can satisfy the equation.

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No Solution

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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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y = 2