Solving Special Systems of Linear Equations

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

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)

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

• TRUE

• FALSE

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

What is the solution?

• One Solution

• No solution

• Infinitely Many Solutions

You can solve systems using these methods:

• graphing, substitution, and elimination

• rearranging, thinking, and guessing

• only by graphing