Systems of Equations Review

What is the solution?

• One Solution
• No solution
• Infinitely Many Solutions

Systems of 3 Equations:
-x+6y-z=6
2x+y-3z=16
-x+5y+3z=-7

• A (0, -6, 0)
• B (0, 0, -6)
• C (3, 1, -3)
• D (-6, 4, -3)

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (2, 0)

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used? 

• 1s + 3c = 38
  2s + 3c = 52
• 3s + 1c = 38
  3s + 2c = 52
• s + c = 38
  s + c = 52
• 3s + 3c = 38
  1s + 2c = 52

Solve using Elimination Method:

x - y = 11

2x + y = 19

• (10,-1)

• (-1,10)

• (3,-4)

• (6,7)

How many solutions?

• One Solution
• No solution
• Infinitely Many Solutions

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

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

The school that Laura goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 senior citizen tickets, 2 adult tickets and 5 child tickets for a total of $55. The school took in $67 on the second day by selling 7 senior citizen tickets, 2 adult tickets and 5 child tickets. On the third day the show earned $46 when they sold 2 senior citizen tickets, 4 adult tickets and 2 child tickets. What is the price each of one senior citizen ticket, one adult ticket and one child ticket?

• Adult: $12
  Child: $8
  Senior: $8
• Adult: $6
  Child: $4
  Senior: $5
• Adult: $7
  Child: $5
  Senior: $4
• I did not get any of the answers above so I am assuming none ofthe above.