Solve: 152x – 378y = – 74 and – 378x + 152y = – 604

152x – 378y = – 74 ……(1)

– 378x + 152y = – 604 ……(2)

Add (1) and (2)

– 226x – 226y = – 678 ÷226

– x – y = 3

Subtract (2) from (1)

530x – 530y = 530 ÷530

x – y = 1

x + y = 3

x = 3 – y ……(3)

x – y = 1

x = 1 + y ……(4)

Equate (3) and (4)

3 – y = 1 + y

2 = 2y

y = 1

Put value of y in (4)

x = 1 + 1

x = 2