Classify the system x y z 1 x y z 2SolutionConsistent an

Classify the system x + y + z = 1, x y z = 2.

Solution

Consistent and dependent. As we have solution to system of equations, the system is consistent.

Also,

Adding the two equations give

x=3/2

so, y+z=-1/2

So, y and z depend on each other. Hence, system is dependent.