Math, asked by utkarshmahajanozk9js, 1 year ago

Solve the equation
px+qy=p-q
qx-py=p+q

Answers

Answered by aditi170991
6

Step-by-step explanation:

px+qy= p-q..........1

qx-py=p+q.............2

by multiplying eq 1 with q and 2 with p

qpx+q²y= q(p-q)

qpx -p² y =p(p+q)

___________________

y(q²+p²)=q(p-q)-p(p+q)

y(q²+p²)=qp -q²-p²-qp

y(q²+p²)= -q² -p²

y(q²+p²)= -(q²+p²)

y = -1

put value of y in eq. 1

px + q(-1)= p-q

px = p-q - q(-1)

px = p-q+q

px = p

x = 1

hope it will help you****

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