Solution of System of Equations

When you graph the exact same equation twice,

• you will have no solution. 

• you will have one solution.

• you will have infinite solutions. 

• you will graph a giraffe. 

Tags

CCSS.8.EE.C.8B

If a system of equations has no solution, what does the graph look like? 

• intersecting lines

• parallel lines

• perpendicular lines

• coinciding lines

Tags

CCSS.8.EE.C.8A

In Substitution Method the first step is to ..........

• Plug one of the equations into the other to solve for one of the variables

• Add both equations

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which equation is correctly using substitution for the system shown?

• x + 6 = -2x − 3

• y = x + 6 − 2x − 3

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

What is the solution to this system?
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to this system?
y = 2/3x - 2
y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to this system?
x - y = 6
y= 2x - 5

• (1,3)

• (-1,3)

• (-1,-7)

• (1,-7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve:
y = 7x + 9
2y + 2x = -18

• (5, 0)

• (9, 18)

• (-2, -5)

• (1, 16)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8B