Solve Systems of Equations by Substitution (L1 & 2)

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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 by substitution?

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Solving by substitution involves solving one equation for one variable and then substituting that expression into the other equation.

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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How do you isolate a variable in an equation?

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To isolate a variable, perform inverse operations to get the variable on one side of the equation and all other terms on the opposite side.

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CCSS.7.EE.B.4A

Front

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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 the second step after substituting in a system of equations?

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After substituting, solve the resulting equation for the remaining variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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What does the solution of a system of equations represent graphically?

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The solution represents the point(s) where the graphs of the equations intersect.

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CCSS.8.EE.C.8B

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

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Substitute the solution back into the original equations to see if both equations are satisfied.

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Back

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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What is the elimination method in solving systems of equations?

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

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6