Systems Vocabulary Jan 13 to 17

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System of equations

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A set of two or more equations with the same variables.

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Independent system

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A system of equations with exactly one solution.

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Dependent system

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A system of equations with infinitely many solutions.

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Consistent system

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A system of equations that has at least one solution.

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Inconsistent system

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A system of equations with no solution.

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Substitution

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A method of solving a system of equations by replacing one variable with an expression involving the other variable.

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Solve for...

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To find the value of a variable that makes an equation true.

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Substitute

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To replace a variable with a given value or expression.

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Distribute

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To multiply a term across terms inside parentheses.

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Combine like terms

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To simplify an expression by adding or subtracting terms with the same variables.