Solving Systems by Elimination

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

It means to eliminate one variable by adding or subtracting the equations to find the value of the other variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the first step in solving the system by elimination?

Back

Align the equations so that like terms are in the same column.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What do you do if the coefficients of one variable are the same in both equations?

Back

You can subtract one equation from the other to eliminate that variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

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

Tags

CCSS.8.EE.C.8A

Front

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

Back

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

Tags

CCSS.8.EE.C.8A

Front

Back

No solution.

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CCSS.8.EE.C.8B

Front

Back

(4, -4).

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Back

(-1, -2).

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Back

(1, 6).

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6