solve for X and Y px+qy=p-q and qx-py=p+q
Answers
Answer:
Given:
Px+Qy=P-Q......(1)
Qx-Py=P+Q......(2)
Now multiplying equation (1) with P and equation (2) with Q we get
Px+Qy=P-Q×P
Qx-Py=P+Q×Q
=P×Px+PQy=P×P-QP.....(3)
Q×Qx-PQy=P×Q+Q×Q....(4)
Now by adding equation (3) and (4) we get
(Psquare+Qsquare )x=Psquare+Qsquare
Implies x= Psquare+Qsquare /Psquar+Qsquare
Which implies x=1
Consider PX+Qy=P-Q
=P(1)+Q(y)=P-Q
=P+Qy=P-Q
=Qy=P-Q-P
=y=-Q/Q
=y=-1
Therefore the value of x=1 and y=-1
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