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, which means they have the same slope but different y-intercepts.

Tags

CCSS.8.EE.C.8A

Front

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

Back

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

Tags

CCSS.8.EE.C.8A

Front

Solve by elimination: x + 9y = 8 and -6x - 9y = -3

Back

(-1, 1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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: 4x + 4y = 4 and 3x + 4y = 10

Back

(-6, 7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve by elimination: 7x - 9y = 29 and 7x + 2y = -15

Back

(-1, -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 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

How can you manipulate equations to use the elimination method?

Back

You can multiply one or both equations by a constant to create coefficients that will allow for elimination when the equations are added or subtracted.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6