Systems Review Game

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What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

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What does it mean for a point to be a solution to a system of equations?

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A point is a solution if it satisfies all equations in the system.

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How do you solve a system of equations graphically?

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

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What is substitution in solving systems of equations?

Back

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

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What is elimination in solving systems of equations?

Back

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

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Front

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

Back

They have no solutions because they never intersect.

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What does it mean if two lines are coincident in a system of equations?

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They have infinitely many solutions because they lie on top of each other.

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The solutions are the points (-1, 7) and (1, 3).