Systems of Equations - Which Method is Best?

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What is a system of equations?

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A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

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What does it mean to solve a system of equations?

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To solve a system of equations means to find the values of the variables that satisfy all equations in the system simultaneously.

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What is the Equal Values method?

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The Equal Values method involves setting two expressions equal to each other to find the value of a variable.

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When is the Substitution method best used?

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The Substitution method is best used when one equation is easily solvable for one variable, allowing substitution into the other equation.

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What is the Elimination method?

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The Elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

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How do you identify the best method to solve a system of equations?

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Consider the structure of the equations: use Equal Values for direct comparisons, Substitution for easily solvable equations, and Elimination for equations that can be easily combined.

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What is a consistent system of equations?

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A consistent system has at least one solution, meaning the equations intersect at one or more points.