Solve 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 is the first step in using the elimination method?

Back

The first step is to manipulate the equations (if necessary) so that the coefficients of one of the variables are opposites.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Back

y

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Back

(7, 0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Back

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Back

(7, -1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Back

(-1, -1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean to 'eliminate' a variable in a system of equations?

Back

To eliminate a variable means to manipulate the equations so that one variable is removed, allowing for the other variable to be solved directly.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the importance of aligning coefficients when using the elimination method?

Back

Aligning coefficients allows for easy addition or subtraction of the equations to eliminate a variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is a common mistake when using the elimination method?

Back

A common mistake is not properly aligning the coefficients or incorrectly adding/subtracting the equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6