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

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

Back

A system has infinite solutions when the equations represent the same line, meaning every point on the line is a solution.

Tags

CCSS.8.EE.C.8A

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 never intersect.

Tags

CCSS.8.EE.C.8A

Front

What is the first step in using the elimination method?

Back

The first step is to align the equations and manipulate them (by multiplying if necessary) so that the coefficients of one variable are opposites.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve by elimination: 2x + 3y = 6 and 4x + 6y = 12

Back

infinite solutions

Tags

CCSS.8.EE.C.8B

Front

Solve by elimination: 3x + 2y = 12 and 3x + 2y = 6

Back

no solution

Tags

CCSS.8.EE.C.8B

Front

What is the significance of the coefficients in the elimination method?

Back

The coefficients determine how to manipulate the equations to eliminate a variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve by elimination: 5x - 3y = 7 and 10x - 6y = 14

Back

infinite solutions

Tags

CCSS.8.EE.C.8B

Front

What does it mean for two equations to be dependent?

Back

Dependent equations are those that represent the same line, leading to infinite solutions.

Tags

CCSS.8.EE.C.8B

Front

Solve by elimination: 2x + y = 5 and 4x + 2y = 10

Back

infinite solutions

Tags

CCSS.8.EE.C.8B