Systems of Equations - Which Method is Best?

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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 it mean to solve a system of equations?

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To solve a system of equations means to find 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 the Equal Values method?

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The Equal Values method involves setting two expressions equal to each other to find the value of a variable.

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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When is the Substitution method best used?

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The Substitution method is best used when one equation is easily solvable for one variable, allowing substitution into the other equation.

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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What is the Elimination method?

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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How do you identify the best method to solve a system of equations?

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Consider the structure of the equations: use Equal Values for direct comparisons, Substitution for easily solvable equations, and Elimination for equations that can be easily combined.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Back

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Back

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Back

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is a consistent system of equations?

Back

A consistent system has at least one solution, meaning the equations intersect at one or more points.

Tags

CCSS.8.EE.C.8A