Unit 5 Systems 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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How do you solve a system of equations algebraically?

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You can use substitution or elimination methods to find the values of the variables that satisfy all equations in the system.

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

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

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

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An inconsistent system has no solutions, meaning the equations do not intersect at any point.

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What is the graphical representation of a system of equations?

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The graphs of the equations in the system, where the solution(s) are the points of intersection.

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What is the substitution method?

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A method for solving a system of equations where one equation is solved for one variable, and that expression is substituted into the other equation.

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What is the elimination method?

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A method for solving a system of equations by adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

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The solution is (2, 3).

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The y-coordinate is 1.

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