Unit 1A Review

How many solutions does this given system have?

• No solution

• One solution

• Infinite solutions

How many solutions does this given system have?

• No solution

• One solution

• Infinite solutions

How many solutions does this given system have?

• No solution

• One solution

• Infinite solutions

How many solutions does this given system have?

• No solution

• One solution

• Infinite solutions

How many solutions does this given system have?

• No solution

• One solution

• Infinite solutions

Find the solution of the system of linear equations
3x - 2y = 12
2x + y = 1

• (-2, -3)
• (2, 0)
• (2, -3)
• (-3, 2)

The solution of a system of three linear equations in three variables, x,y, and z, is called a(n) ___________________ (x,y,z).

• Ordered Pair
• Integer
• Ordered Triple
• Sum

Is the ordered triple (1, -2, 6) a solution to the following system?
Why or why not?
2x + y = 0
x + 3y - z = -11
7x + 5y + 4z = 21

• Yes,
  because the ordered triple makes all 3 equations true.

• No,
  because the ordered triple makes at least 1 equation false.

Is the ordered triple (-1, -2, -3) a solution to the following system? Why or why not?

2x - 9y + 9z = -2

x - 5z = 9

7x - 2y = -3

• Yes,
  because the ordered triple makes all 3 equations true.

• No,
  because the ordered triple makes at least 1 equation false.

What is your solution if your variables go away and you are left with 0 = 0?

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