Solve 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 values of the remaining variables.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the elimination method?

Back

A method for solving systems of equations by combining equations to eliminate one variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you determine if a system of equations has no solution?

Back

If the equations represent parallel lines, they will never intersect, indicating no solution.

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

(8, 1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Back

(-1, -8)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the graphical representation of a system of equations?

Back

It is the intersection point(s) of the lines represented by the equations.

Tags

CCSS.8.EE.C.8B

Front

How can you check the solution of a system of equations?

Back

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the first step in the elimination method?

Back

Align the equations and manipulate them to have the same coefficient for one variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6