Linear Systems Review

If two lines never touch, the system has...

• One solution

• No solutions

• Infinite solutions

If two lines are the SAME, the system has...

• No solutions

• One solution

• Infinite solutions

True or False; The point where two lines touch is a solution to a linear system.

• TRUE

• FALSE

If two lines cross once, the system has...

• No solutions.

• One solution.

• Infinite solutions.

What is the solution to the system represented by the graph?

• (1,1)

• (-1,-1)

• (-1,1)

• (1,-1)

What is the solution to the system?

• (0,3)

• (0,-1)

• No solutions.

• Infinite Solutions.

How many solutions would the following system have?

2y+x=4

2y=-x+4

(Hint: Rearrange one of the equations)

• Infinite solutions.

• No solutions.

• One solution.

Match the following systems to their number of solutions:

• Infinite solutions.

• 
• No solutions.

• 
• One solution.

• y=2x+3

  y-2x=3

  (Hint: Rearrange)

What is the solution to the system represented on the graph?

• (1,3)

• (0,3)

• (3,0)

• (0,-3)

If two lines touch ____, the system has ONE solution