The following system of linear equations
2x + 3y + 2z = 9
3x + 2y + 2z = 9
x - y + 4z = 8
Option: 1 has a solution satisfying
Option: 2 has infinitely many solutions
Option: 3 does not have any solution
Option: 4 has a unique solution
(1) – (2)
⇒ –x + y = 0
⇒ x – y = 0
from (3)
4z = 8
⇒ z = 2
from (1)
2x + 3y = 5
⇒ x = y = 1
therefore, system has unique solution
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