Question

Solve the following systems of equations:

152x − 378y = −74
−378x + 152y = −604

Answer 1

152x − 378y = −74 ...(1)

−378x + 152y = −604 ...(2)

Adding the equations (1) and (2), we obtain:

-226x - 226uy = -678

=> x + y = 3 ...(3)

Subtracting the equation (2) from equation (1), we obtain

530x - 530y = 530

=> x - y = 1 ...(4)

Adding equations (3) and (4), we obtain:

2x = 4

x = 2

Substituting the value of x in equation (3), we obtain:

y = 1