Solving Systems with Graphing and Substitution

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

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Tags

CCSS.8.EE.C.8A

If a system of linear equations has infinitely many solutions, what does this mean about the two lines? 

• Intersecting lines
• Identical line
• Parallel lines

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

^{What is the solution to the system?} 

• (1,1)
• -2
• (1, 2)
• (1, -1)

Tags

CCSS.8.EE.C.8A

Using the graphing method. What is the solution to this system?

y = 2x + 1

y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Solve by Graphing: What is the solution to this system?

y = 2/3x - 2

y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

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 = 6x - 4
y = -x + 3

• (1, 2)
• (2, 1)
• (4, 5)
• (2, 4)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Solve the following system by graphing.  What is the solution?

• Infinite number of solutions
• (3, 3)
• (3, -3)
• (-3, 3)

Tags

CCSS.8.EE.C.8B

Solve the following system by graphing.  What is the solution?

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

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 the system by graphing:
y = 6x - 4
y = -x + 3

• (1, 2)
• (2, 1)
• (4, 5)
• (2, 4)