Systems of three equations

What is the solution to this system?
y= 4x + 3
2x - 3y = 21

• (3,-9)
• (-3,-9)
• (-3,9)
• (0,1)

What is the solution to this system?
x= 7 - 2y
2x + y = 5

• (-1,4)
• (4,-1)
• (1,3)
• (3,1)

What is the solution to this system?
y = x + 5
4x + y = 20

• (3,8)
• (8,3)
• (0,2)
• (2,0)

Solve using substitution.
x + 2y = -3
x - y = -12
What is the sum of x and y?

• -6
• -2
• 18
• 15

CHALLENGE: Three equations.
x + y + z = 4
x = -2y
z = -3y
Solve the system of equations using substitution.

• x = 2
  y = -1
  z = 3
• x= -5
  y = 3
  z = 1
• x = 10
  y = -2
  z = 0
• x= 4
  y = 1
  z = -1

Solve the system.

• (3, -2, 4)
• (2, -3, 1)
• (-3, 2, -1)
• Infinitely many solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.C.8

CCSS.HSA.REI.C.9

Solve the system.

• (2, -2, 3)
• (2, 1, 4)
• (-2, 2, -3)
• No Solution

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.C.5

CCSS.HSA.REI.D.11

Solve the system. 

• (5, -6, 3)
• (2, 3, -1)
• (-4, 2, 5)
• No Solution

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.C.8

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

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

• No Solution

• Integers only

• Infinitely Many Solutions

• (x, y, z)