Solving Systems of Equations

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What is a system of equations?

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

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What does it mean to solve a system of equations?

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Finding the values of the variables that satisfy all equations in the system.

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What is the graphical method of solving systems of equations?

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Plotting the equations on a graph and identifying the point(s) where they intersect.

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What does it mean if two lines are parallel when graphing a system of equations?

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The system has no solution because the lines never intersect.

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What does it mean if two lines coincide when graphing a system of equations?

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The system has infinite solutions because every point on the line is a solution.

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What is the elimination method in solving systems of equations?

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A method that involves adding or subtracting equations to eliminate one variable.

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What is the substitution method in solving systems of equations?

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A method where one equation is solved for one variable, and then substituted into the other equation.

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How do you determine if a solution is correct for a system of equations?

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By substituting the solution back into the original equations to see if they hold true.

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What is the point of intersection in a system of equations?

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The point where the graphs of the equations meet, representing the solution.

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What is the setup fee in a cost equation?

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A fixed charge that must be paid regardless of the number of items ordered.