Solving Systems by 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

What does ARN stand for in the context of systems of equations?

Back

ARN stands for 'All Real Numbers', indicating that the equations represent the same line and have infinitely many solutions.

Tags

CCSS.8.EE.C.8B

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: 3x + 7y = 23 and -3x - 7y = -17

Back

No solution

Tags

CCSS.8.EE.C.8B

Front

Solve by elimination: 7x + y = -9 and -3x - y = 5

Back

(-1, -2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve by elimination: -x + 2y = 17 and 2x + 2y = -10

Back

(-9, 4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve by elimination: 9x - 4y = 7 and x - 4y = -17

Back

(3, 5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the first step in using the elimination method?

Back

The first step is to align the equations and decide which variable to eliminate.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What do you do if the coefficients of one variable are not the same?

Back

You can multiply one or both equations by a number to make the coefficients of one variable the same.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6