Solving Systems of Equations by Table & Graphs

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What is a system of equations?

Back

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

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What does it mean for two lines to intersect?

Back

It means that the two equations have a common solution, represented by the point of intersection.

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CCSS.8.EE.C.8A

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What is the solution to a system of equations?

Back

The point where the graphs of the equations intersect, representing the values of the variables that satisfy all equations.

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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?

Back

It means that the lines are parallel and 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 infinitely many solutions?

Back

It means that the equations represent the same line, and every point on the line is a solution.

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CCSS.8.EE.C.8A

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How can you determine the solution of a system of equations using a table?

Back

By finding the row in the table where the values of the variables are the same for both equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the graphical representation of a system of equations?

Back

It is the plot of the equations on a coordinate plane, showing the lines and their intersections.

Tags

CCSS.8.EE.C.8A

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What is the y-value in the solution (x, y)?

Back

It is the second number in the ordered pair that represents the solution to the system.

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CCSS.HSA.REI.C.9

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What does it mean if two lines are coincident?

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It means they lie on top of each other, indicating infinitely many solutions.

Tags

CCSS.8.EE.C.8A

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How do you find the x-value of the solution from a graph?

Back

By identifying the x-coordinate of the point where the two lines intersect.

Tags

CCSS.8.EE.C.8B