Elimination Method

Front

What is the Elimination Method in solving systems of equations?

Back

A method used to eliminate one variable by adding or subtracting equations, allowing for the solution of the remaining variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean when two lines intersect on a graph?

Back

It means that the system of equations has a unique solution, which is the point of intersection.

Tags

CCSS.8.EE.C.8A

Front

Solve using Elimination Method: 2x + 3y = 6 and 4x - 3y = 12.

Back

(3,0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the first step in the Elimination Method?

Back

To align the equations so that one variable can be eliminated by addition or subtraction.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve the system: x + 2y = 8 and 3x + 2y = 14.

Back

(4, 2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

The lines are parallel and do not intersect.

Tags

CCSS.8.EE.C.8A

Front

Solve using Elimination Method: 5x + 2y = 10 and 3x - 2y = 4.

Back

(2,0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the solution to the system of equations: 3x + 4y = 10 and 6x + 8y = 20?

Back

No solution (the second equation is a multiple of the first).

Tags

CCSS.8.EE.C.8B

Front

Solve using Elimination Method: 7x + 3y = 24 and 2x + 3y = 9.

Back

(3, 1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the significance of the coefficients in the Elimination Method?

Back

They determine how to manipulate the equations to eliminate a variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6