Systems of Equations Eliminations

An ordered pair that satisfies all of the equations in a linear system. The intersection point where the lines cross.

• Linear system

• Solution of a system of linear equations

• Elimination Method

• Substitution Method

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve using Elimination Method:

x - y = 11

2x + y = 19

• (10,-1)

• (-1,10)

• (3,-4)

• (6,7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

4x+ 9y = 28

-4x -y = -28

• (-7,0)

• (6,0)

• (-6,0)

• (7,0)

• (6,7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve using Elimination Method:

9x - 4y = 7

x - 4y = -17

• (-1,5)

• (-7,5)

• (7,5)

• (3,5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

what do you need to multiply the top equation by to make a zero pair:

• 5

• -1

• 2

• -2

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

what does the top equation need to be multiplied by to create a zero pair?

2x - 6y = 20

2x + 5y = -11

• -1

• 1

• -2

• 2

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the following system by using elimination:

-2x - 5y = -15

x + 8y = 13

• (5, 1)

• (1, 5)

• (5, -1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

 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

Solve by elimination:
4x + 4y = 4
   3x + 4y =10

• (7,-6)

• (-6,7)

• (6,7)

• (7,6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

3x + 7y = 23
-3x - 7y = -17

• No solution

• Infinite number of solutions

• (-3,3)

• (3,3)

Tags

CCSS.8.EE.C.8B