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Question
Solve the following systems of equations:
152x − 378y = −74
−378x + 152y = −604
Solution
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
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