Add/Subtract Elimination

7x - y = 10

-7x + y = -14

• No Solution

• (4, 1)

• Infinitely Many Solutions

• (2, -4)

Answer explanation

7x - y = 10

-7x + y = -14

All of the like terms have opposite coefficients, so both variables will be eliminated when we add the equations together. We cannot eliminate one without the other.

We are left with:

0=-4

This is a contradiction (false), so there is NO SOLUTION.

Tags

CCSS.8.EE.C.8B

Solve the following using elimination. x-y=11 2x+y=19

• (10,-1)

• (-1,10)

• (-1,-10)

• (-10,-1)

Answer explanation

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

In order to solve this system by elimination, what should your first step be?

• Add the system

• Subtract the system

• Multiply one equation by 4

• Multiply one equation by 5

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

In order to solve this system by elimination, what should your first step be?

• Add the system

• Subtract the system

• Multiply one equation by 4

• Multiply one equation by 2

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

In order to solve this system by elimination, what should your first step be?

• Add the system

• Subtract the system

• Multiply one equation by 5

• Multiply one equation by 7

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

In order to solve this system by elimination, what should your first step be?

• Add the system

• Subtract the system

• Multiply one equation by 8

• Multiply one equation by 2

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

In order to solve this system by elimination, what should your first step be?

• Add the system

• Subtract the system

• Multiply one equation by 3

• Multiply one equation by 5

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

In order to solve this system by elimination, what should your first step be?

• Add the system

• Subtract the system

• Multiply one equation by 2

• Multiply one equation by 5

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

In order to solve this system by elimination, what should your first step be?

• Add the system

• Subtract the system

• Multiply one equation by 2

• Multiply one equation by 8

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

In order to solve this system by elimination, what should your first step be?

• Add the system

• Subtract the system

• Multiply one equation by 6

• Multiply one equation by 3

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6