Solve Systems: Graphing, Substitution, and Elimination

Buzz graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-1, 4)
• (1, -4)
• (-4, 1)
• (4, -1)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Does the system have one, none or infinite solutions?

y = 2x -11

y = 2x +5

• One

• None

• Infinitely many solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Solve by graphing.
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Solve this system of equations by graphing. 
y = 1/2x + 2
y = -3x + 9

• (2,3)
• (-2,-3)
• (3, 2)
• (-3,2)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Solve the system by graphing:

y = 2x+8

4y - 8x = 32

• No Solution

• Infinitely Many Solutions

• (2,4)

• (4,-8)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Solve the solution by substitution:

x = 7 - 2y

2x + y = 5

• (-1,4)

• (4,-1)

• (1,3)

• (3,1)

Tags

CCSS.HSA.REI.C.6

Solve the system by substitution:

x - y = 6

y - 2x = - 5

• (1,3)

• (-1,3)

• (-1,-7)

• (1,-7)

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

Solve by elimination:
7x+y=-9

-3x-y=5

• No solution
• (1,8)
• (-2,-3)
• (-1,-2)

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

Solve by elimination:
-x+2y=17

2x+2y=-10

• ARN
• (-9,4)
• (-9,-4)
• (9,-4)

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6