Question

Solve for x and y , 152x-378y= -74 and -378+152y= -604

Answer 1

152x-378y=-74
or, 76x-189y=-37-------------(1)
-378x+152y=-604
or, -189x+76y=-302----------(2)
Multiplying (1) with 189 and (2) with 76 we get,
14364x-35721y=-6993------------(3)
-14364x+5776y=-22952----------(4)
Adding (3) with (4) we get,
-29945y=-29945
or, y=1
Putting in (1) we get,
76x-189×1=-37
or, 76x=-37+189
or, 76x=152
or, x=152/76
or, x=2
∴, Required solution is: x=2, y=1