Solving Systems of Equations by Substitution

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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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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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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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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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What is substitution in solving systems of equations?

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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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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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How do you identify the solution to a system of equations graphically?

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The solution is the point where the graphs of the equations intersect.

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CCSS.8.EE.C.8B

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

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The equations represent parallel lines that never intersect.

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CCSS.8.EE.C.8A

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

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

Tags

CCSS.8.EE.C.8B

Front

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Back

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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Infinite solutions.

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CCSS.8.EE.C.8B

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Back

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6