Math, asked by adityaas11, 1 year ago

solve it fast as u can​

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Answered by sidjethwani
1

Answer:

x = 1 , y = -1

Step-by-step explanation:

-------> px + qy = (p-q) .......... (1)

-------> qx - py = (p+q) .............(2)

---->(2) * p,

       pqx - p^{2}y = p(p+q) ........... (3)

----> (1) * q,

       pqx + q^{2}y = q(p-q)............. (4)

----> (4) - (3)

       q^{2}y + p^{2}y = q(p-q) - p(p+q)

     ⇒ ( q^{2} + p^{2} ) y= qp - q^{2} - p^{2} - qp

  ⇒ y = \frac{-(q^{2} +p^{2})}{(q^{2}+p^{2} )}

y = -1

------> put y in (1),

        px -q =p -q

       x = 1

     

       

       

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