Question

Solve for x and y:

152x - 378y = -74

-378x + 152y = -604​

Answer 1

152x-378y = -74... (1)

-378x + 152=-604,....(2)

subtract 1and 2

152x-378y -(-378x+152y) = -74-(-604)

152x - 378 + 378x-152y = -74+ 604

530x-530y = 530

530(x-y) = 530

x-y = 530/530

x-y = 1

then x= 1+y

152x -378y = -74

152(1+y) - 378y = -74

152+152y -378y =-74

-226y = -74-152

-226y = -226

y = -226/-226

y = 1

x= 1+y

x= 1+1

x= 2