Linear Systems

How many solutions does this linear system have?

• One Solution
• No Solutions
• Infinite Solutions
• Two Solutions

How many solutions does the linear system have?

• One Solution
• No Solutions
• Infinite Solutions
• Two Solutions

How many solutions does the linear system have?

• One Solution
• No Solutions
• Infinite Solutions
• Two Solutions

Give the solution to the system

• (3,1)
• (1,3)
• (-1,3)
• a hoppy hippo

Find the solution to the system
x − y = 3
7x − y = −3

• (4,1)
• (-1,-4)
• (-1,-1)
• vanilla

Find the solution to the system
4x – 3y = 5
y = 2x – 3 

• (2,1)
• (1,2)
• (2,2)
• the answer is not listed

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Write a system to represent this situation assuming "a" represents # of adult tickets and "c" represents # of children's tickets.

• a + c = 21
  6a + 4c = 104
• a + c = 104
  6a + 4c = 21
• a + c = 21
  6c + 4a = 104
• a + c = 104
  6c + 4a = 21

What is the solution to this system of equations?

• (4, -1)
• (-1, 4)
• (-4, 1)
• (-4, -1)

Solve the system of equations.
x + 2y = -3
x - y = -12

• (-9, 3)
• (-7 ,5)
• (3, 15)
• (9, 6)

Solve for x and y
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)