G9 L5.3 Solving System 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 that are solved together.

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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 are the three main methods to solve systems of equations?

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Graphing, Substitution, and Elimination.

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When is the graphing method most useful?

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When the equations are simple and can be easily plotted on a graph.

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What is the substitution method?

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

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What does it mean if a system of equations has no solution?

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The lines representing the equations are parallel and never intersect.

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What does it mean if a system of equations has infinitely many solutions?

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The equations represent the same line, meaning every point on the line is a solution.

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Graph both equations on the same coordinate plane and identify the point of intersection.

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