a Can a system with one equation be inconsistent b Can a sys

(a) Can a system with one equation be inconsistent?

(b) Can a system with more equations than variable be consistent?

Please provide examples

Solution

a)

No.

System with one equation will be of the form

x=a where x is the variable

x=a is the solution of the system

IT always has a unique solution

\\b)

Yes

Example

x,y variables

x+y=2

x-y=3

3x+y=7

The equations are consistent because the last equation can be obtained by taking twice of first equation and adding to second equation. HEnce solution of first two satisfies the third also.