Algebra 3 Systems Quiz

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph
• Don't touch
• Intersect
• Exist

• (2, -2)
• (2, 2)
• (-2, 2)
• (-2, -2)

• Infinitely Many Solutions
• No Solution

While solving a system, if you are left with a TRUE statement, like 0 = 0, what does that mean?

• No Solution
• All Real Numbers
• Infinitely Many Solutions
• (x, y, z)

While solving a system, if you are left with a FALSE statement, like 0 = 2, what does that mean?

• No Solution
• All Real Numbers
• Infinitely Many Solutions
• (x, y, z)

Solve by elimination
-12x-4y= -8 
  -6x-2y= -4

• no solution 
• (0,0)
• infinite solutions 
• (4,0)

A graph of a system of three linear equations in three variables is shown below.  How many solutions does the system have? 

• 1
• 2
• IMS
• 0

A graph of a system of three linear equations in three variables is shown below.  How many solutions does the system have? 

• 1
• 2
• IMS
• 0

In this system, if y = -2, and z = 6, what does x equal? You ONLY need to type the number.
2x+y=0
x+3y-z=-11
7x+5y+4z=21

In this system: x = -1, z = -4, what does y equal?