Solving Special Systems of Linear Equations

Solve the system and determine the number of solutions it has. If it has one solution, name it.
-6x+y=6
-3x+y=6

• No Solution
• Infinitely Many Solutions
• One Solution; (-1,0)
• One Solution; (0,6)

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

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

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

Which two lines show a system with one solution of (0,1)?

• Purple and Green
• Green and Red
• Purple and Blue
• Red and Blue

If a system of equations has infinitely many solutions, what does the graph look like? 

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

If a system of equations has infinitely many solutions, what do you know about the slopes and y-intercepts of the two equations?

• They have different slopes and different y-intercepts.
• They have the same slopes and different y-intercepts.
• They have the same slopes and the same y-intercepts.
• They have different slopes and the same y-intercepts.

Which two lines show a system with no solution?

• Purple and Green
• Green and Red
• Purple and Blue
• Red and Blue

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

If a system of equations has no solution, what do you know about the slopes and y-intercepts of the two equations?

• They have different slopes and different y-intercepts.
• They have the same slopes and different y-intercepts.
• They have the same slopes and the same y-intercepts.
• They have different slopes and the same y-intercepts.

Solve the system and determine the number of solutions it has. If it has one solution, name it.
4x-6y=12
-2x+3y=-6

• No Solution
• Infinitely Many Solutions
• One Solution; (6,2)
• One Solution; (3,0)

Tags

CCSS.HSA.REI.C.6