Solving Equations - types of solutions

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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 if an equation has no solution?

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

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What does it mean if an equation has one solution?

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An equation has one solution if there is exactly one value for the variable that satisfies the equation.

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What does it mean if an equation has infinite solutions?

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An equation has infinite solutions if there are countless values for the variable that satisfy the equation, often occurring when both sides of the equation are identical.

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Infinite Solutions

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No Solution

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What is the first step in solving linear equations?

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The first step is to simplify both sides of the equation, if necessary, by combining like terms.

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What is the purpose of isolating the variable in an equation?

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Isolating the variable helps to find its value by getting it alone on one side of the equation.

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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 exponents greater than one and graphs as a straight line.

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Infinite Solutions