Given :
X+Y=[5209] ⋯(1)
X−Y=[360−1] ⋯(2)
Adding equation (1) and (2)
⇒(X+Y)+(X−Y)=[5209]+[360−1]
⇒X+X+Y−Y=[5+32+60+09−1]
⇒2X=[8808]
⇒X=12[8808]
⇒X=⎡⎢
⎢⎣8282082⎤⎥
⎥⎦
⇒X=[4404]
Putting X=[4404] in equation (1)
⇒[4404]+Y=[5209]
⇒Y=[5209]−[4404]
⇒Y=[5−42−40−09−4]
⇒Y=[1−205]
Hence,
X=[4404], Y=[1−205]