Systems of Linear Equations

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

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

Tags

CCSS.HSA.REI.C.6

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (2, 0)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

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.HSA.REI.C.6

CCSS.HSA.REI.D.10

How many solutions will this system have? 

• No solution
• One Solution
• I Don't Know
• Infinitely Many Solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the solution?

• (6, 3)
• (3, 6)
• (-6, 3)
• No solution

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?

• (-4, 2)
• (4, 2)
• (2, -4)
• (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 substitution.  What is the solution?

• (1, -2)
• (-2, 1)
• (-4, 1)
• (2, 1)

Tags

CCSS.HSA.REI.C.6

Solve the system using any method. 
−4x − 4y = 0
4x + 4y = 0 

• (−6, −4) 
• Infinite number of solutions  
• No solutions
• (6, 4) 

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Solve for x and y using any method we've learned!
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

Solve the system of equations below:
9x - 4y = 1
-3x + 8y = -47

• (3, -7)
• (-3, 7)
• (-3, -7)
• (-7, -3)

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6