Solving a System by Elimination Using Addition and Subtraction

Solve using Elimination. Show your work!

2x - 6y = 20

2x + 5y = 53

• (3, 19)

• (19, 3)

• (-1, 73)

• (10, 0)

Answer explanation

2x - 6y = 20

2x + 5y = -11

We just need ONE of the 2x's to become -2x. So you can multiply equation 1 OR equation 2, but you can only change one of them so that you still get 2x & -2x to cancel.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve for x and y:
4x + 2y = 22
4x - 2y = 18

• x = 2, y = 6

• x = 4, y = 3

• x = 5, y = 1

• x and y can be anything

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

• (2 , 5)

• (-2 , 5)

• (2 , -7)

• (-2 , -7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system using elimination.
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of equations
  4x+8y=20
-4x+2y=-30

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution?

• (1, -2)

• (-2, 1)

• (-4, 1)

• (2, 1)

Tags

CCSS.HSA.REI.C.9

Solve the system of equations given below.

2x + 3y = 7

4x + 6y = 14​ (a)  

• Infinitely Many Solutions

• No solutions

• One Solution

• Two Solutions

Tags

CCSS.8.EE.C.8B

To eliminate a variable in the system, should you add the equations or subtract the equations?

• Add

• Subtract

• Neither

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

To solve this system of equations using elimination, should you use the 'addition method' or the 'subtraction method'?

-11x - 2 = 25

-11x + 3 = -35

• The Addition Method

• The Subtraction Method

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve using any method:

3x-7y=13

12x+14y=10

• (2, -1)

• (2, 1)

• (1, -2)

• (-1, 2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6