Systems of Equations - Substitution (No Manipulation)

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What is a system of equations?

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A system of equations is 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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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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What does substitution mean in solving systems of equations?

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Substitution is 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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The value of y is -3.

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CCSS.HSF.IF.A.2

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

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It means the lines represented by the equations are parallel and never intersect.

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CCSS.8.EE.C.8A

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What is the graphical representation of a system of equations?

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The graphical representation is the intersection point(s) of the lines on a coordinate plane.

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CCSS.8.EE.C.8B

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How do you check if a solution is correct for a system of equations?

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Substitute the solution back into both equations to see if they hold true.

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

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

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CCSS.8.EE.C.8A