Systems using elimination

Solve by elimination:
4x+9y=28
-4x-y=-28

• (-7,0)
• (6,0)
• (-6,0)
• (7,0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

6x - 3y = 27

2x - 3y = 11

• (6, 3)

• (4, -1)

• (10, 3)

• Infinite Solutions

• No Solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

x + y = 2

-3x + 4y = 15

• (5, -3)

• (-1, 3)

• (-5, 0)

• Infinite Solutions

• No Solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

6x + 4y = 10

3x + 2y = -5

• (1, 1)

• (5, -5)

• (-1, -1)

• Infinite Solutions

• No Solutions

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Solve by elimination:
3x+7y=23

-3x-7y=-17

• No solution
• ARN
• (-3,3)
• (3,3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve by elimination 
-12x-10y= 0 
 6x+5y= -1

• infinite solutions
• (0,0)
• no solution 
• (2,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve by elimination 
-6x+y= -2
-3x-6y= 12

• (2,0)
• no solution 
• (0,-2)
• infinite solutions 

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

A system of linear equations is... 

• Math Magic
• One Equation
• Always more than 2 equations
• A set of 2 or more equations

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

What is the first step in solving a system of equations by elimination?

• Get both equations in standard form and line up the like terms.
• Get both equations in slope-intercept form.
• Get both equations equal to zero.
• Put the x terms first.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

5x + 16y = -16
-9x - 8y = 8

• (3, 1)
• (3, -1)
• (-3, -1)
• (0, -1)

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6