Solving Systems - Graphing

If a system of linear equations has infinitely many solutions, what does this mean about the two lines? 

• Intersecting lines

• Same line

• Parallel lines

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount?

• y = 6.80 + .65x
  y=7.30+.90x

• x + y = 6.80
  x + y = 7.30

• y = 6.80+.90x
  y = 7.30 + .65x

• y + .90x = 6.80
  y + .65x = 7.30

If a system of linear equations has one solution, what does this mean about the two lines?

• Parallel lines

• the same line

• Intersecting lines

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

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

How many solutions does the system have?

• One Solution

• Two Solutions

• No Solutions

• Infinitely Many Solutions

The graph of a system consists of lines that have exactly one point of intersection. Therefore, the system has how many solutions?

• No Solutions

• More than one solutions

• Cannot be determined

• Exactly one solution

If the slopes of the two equations are the same and the y-intercepts are also the same, how many solutions do we have?

• One Solution

• Two Solutions

• Infinitely Many Solutions

• No Solutions

How many solutions?

• no solution

• one solution

• infinitely many solutions

How many solutions will this system have?

• No Solution

• Infinitely Many Solutions

• No Clue

• One solution

Give the solution to the system.

• (3,1)

• (1,3)

• (-1,3)

• No solution