Systems of Equations Review

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

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What is substitution in the context of solving equations?

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A method where one equation is solved for one variable, and that expression is substituted into another equation.

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What is the graphical representation of a system of equations?

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The equations are represented as lines on a graph, and the solution is the point(s) where the lines intersect.

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

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The system has infinite solutions because the lines are the same.

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How do you determine if a system of equations has one solution?

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If the lines intersect at exactly one point, the system has one unique solution.

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What is the elimination method for solving systems of equations?

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A method where you add or subtract equations to eliminate one variable, making it easier to solve for the other.

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(1, 2)