Solving Systems of Equations Warm Up

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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. The solution is the point(s) where the equations intersect.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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What does it mean to solve a system of equations by elimination?

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

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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What is the substitution method 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.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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How do you graph a system of equations?

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By plotting each equation on the same coordinate plane and identifying the point(s) where they intersect.

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CCSS.8.EE.C.8B

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(-2, -4)

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CCSS.HSA.REI.C.9

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Back

(7, -1)

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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Back

(-1, 0)

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CCSS.HSA.REI.C.9

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(4, 1)

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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(3, 1)

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CCSS.HSA.REI.C.9

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What is the graphical interpretation of a system of equations with no solution?

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The lines representing the equations are parallel and never intersect.

Tags

CCSS.8.EE.C.8A