System of Equations Using Elimination

Consider the system of equations: 6x + 2y = 4 6x + 6y = 24 What could be the first step in solving the system of equations using elimination?

• Multiply the second equation by 3

• Multiply the first equation by -1

• Add the two equations

• Add 4 to both sides of the first equation

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Krista and Tywana were solving the system of equations below. They each shared what strategy they would use to solve the system. Who do you agree with? Is either student wrong? This is a placeholder for the diagram showing the system of equations and the strategies proposed by Krista and Tywana.

• Krista is correct, because she used the substitution method.

• Tywana is correct, because she used the elimination method.

• Both Krista and Tywana are correct, because they used two different methods.

• Neither one of them is correct.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What should be your first step to solve the following system of equations using the Elimination Method?

• Add the equations together to eliminate the x's

• Multiply the top equation by 3, so you can eliminate the y's

• Multiply the bottom equation by 2, so you can eliminate the x's

• Set the two equations equal to each other

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of equations:

3x + y = 1

4x + y = 2

• x = 1

• y = 4

• y = -2

• x = 0

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system with linear combinations method (Elimination method).

x + 4y = -4

3x + 5y = 2

Type in answer with no spaces between terms. Ex: (-2,1)

If no soultion type in NS

If infinitely many solutions type in IMS

(a)  

Answer explanation

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve using Elimination.

• (0,0)

• (-8,-8)

• (-8,0)

• (0,-8)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

2x - 6y = 20

2x + 5y = -11

what would the top equation become when you multiply everything by -1?

• 2x - 6y = 20

• -2x - 6y = -20

• -2x + 6y = 20

• -2x + 6y = -20

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

________________

are two or more equations that have the same variables and work together.

• graphing lines

• elimination method

• system of equations

• table

• slope intercept form

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

4x +  8y = 20
-4x + 2y = -30
Which variable will be eliminated?

• The  x

• The  y

• The  z

• The unknown

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6