Three Variable Systems

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.5

CCSS.HSA.REI.C.6

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

Solve for x, y and z.

• (2, 5, 6)
• (6, 5, 2)
• (2, 6, 5)
• (6, 2, 5)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.C.7

Solve the system of equations: 

• ( -2, 3, -3)
• None of these
• ( -2, -3, 3)
• ( -3, 3, -2)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.C.8

CCSS.HSA.REI.C.9

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)

Tags

CCSS.8.EE.C.7A

Caleb earns points on his credit card that he can use towards future purchases. He earns four points per dollar spent on flights, two points per dollar spent at hotels, and one point per dollar spent on all other purchases. Last year, he charged a total of $9,480 and earned 14,660 points. The amount of money spend on flights was $140 more than twice the amount of money spent on hotels. Find the amount of money spent on each type of purchase.