Question

Which classification describes the following system of equations?

x=5
y=6
-x-y+z=0

-inconsistent and dependent
- consistent and dependent
- consistent and independent
-inconsistent and independent

Answer 1

C:Consistent and Independent

Answer 2

• Consistent and independent

Explanation:

• x=5
• y=6
• -x-y+z=0

It is observed that, x and y are constant and as a result, z becomes constant as well:

• -5 - 6 +z = 0
• z = 11

There is one solution to the system, lines intersect, so this is independent.

So the system can be classified as:

• Consistent and independent