Solving Systems of Equations by Graphing

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What is the solution to the system of equations graphed by Buzz?

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(1, -4)

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CCSS.8.EE.C.8B

Front

A system of equations with infinitely many solutions will have lines that...

Back

are the same.

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CCSS.8.EE.C.8A

Front

When you graph the exact same equation twice, what is the result?

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You will have infinite solutions.

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CCSS.8.EE.C.8A

Front

If a system of equations has no solution, what does the graph look like?

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Parallel lines.

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CCSS.8.EE.C.8A

Front

Where do these two lines intersect?

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(-2, 3)

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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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.

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean for two lines to be parallel in a system of equations?

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They never intersect and have no solutions.

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CCSS.8.EE.C.8A

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What is the graphical representation of a system with one unique solution?

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Two lines that intersect at one point.

Tags

CCSS.8.EE.C.8A

Front

How can you determine the solution of a system of equations by graphing?

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By finding the point where the two lines intersect.

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CCSS.8.EE.C.8B

Front

What is the significance of the intersection point in a system of equations?

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It represents the values of the variables that satisfy both equations.

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6