Solving Systems Using Elimination

Front

What is the elimination method in solving systems of equations?

Back

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

A system has no solution if the equations represent parallel lines, meaning they have the same slope but different y-intercepts.

Tags

CCSS.8.EE.C.8A

Front

Solve by elimination: 4x + 9y = 28 and -4x - y = -28

Back

(7, 0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve by elimination: 4x + 8y = 20 and -4x + 2y = -30

Back

(7, -1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve the system: x + 6y = 17 and -x + 3y = -8

Back

(11, 1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

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

Tags

CCSS.8.EE.C.8A

Front

Solve by elimination: 2x - 3y = -6 and -2x - 2y = 26

Back

(-9, -4)

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, which can be either one solution or infinitely many solutions.

Tags

CCSS.8.EE.C.8B

Front

What is an inconsistent system of equations?

Back

An inconsistent system has no solutions, typically represented by parallel lines.

Tags

CCSS.8.EE.C.8A

Front

How do you set up equations for elimination?

Back

Align the equations and manipulate them (multiply if necessary) so that adding or subtracting will eliminate one variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6