We have to solve:

x + y - 14 = 0 ...(1)

4x - y - 11 = 0 ...(2)

From (1)

x + y - 14 = 0

=> -y = x - 14

Substitute in (2)

4x + x - 14 - 11 = 0

=> 5x - 25 = 0

=> x = 25/5

=> x = 5

y = 14 - x

=> y = 14 - 5

=> y = 9

**The required solution is x = 5 and y = 9**