Linear Systems

How many solutions?

• One Solution
• No solution
• Infinitely Many Solutions

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

• intersecting lines
• parallel lines
• one line

Tags

CCSS.HSA.REI.C.6

CCSS.HSG.GPE.B.5

The solution to a system of equations is any ordered pair that makes both equations true. 

• TRUE
• FALSE

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

The solution (x, y) to a system of equations is the point where they...? 

• cross the y-axis
• Don't touch
• Intersect
• Exist

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the solution to this system?

• (-2, -2)
• (2, -2)
• (-2,2)
• (2, 2)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the solution?

• One Solution
• No solution
• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

Solve the system by substitution. 
−x + 5y = 12
y = −2x − 2 

• (−2, −7) 
• (−2, 2) 
• (−2, −2) 
• (2, −2) 

Solve by elimination. 
 2x + 4y = 10
-4x + 2y = -30

• (-7,1)
• (2,-5)
• (-2,5)
• (7,-1)

Solve by elimination:
7x+y=-9

-3x-y=5

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

Which is a solution to this system?

• (2, 1)
• (-1,2)
• (-5,-7)
• (0,0)