Question

Solve : x + y = p – q , px – qy = p² + q²​

Answer 1

Answer:

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Step-by-step explanation:

so here given simultaneous equations are

x + y = p – q and px – qy = p² + q²

so multiplying (x + y = p – q) throughout by q

we get

xq+qy=pq-q² (1)

px – qy = p² + q² (2)

so adding (1) and (2)

we get

qx+px=p²+pq

ie x(p+q)=p(p+q)

so ie x=p

hence x=p

substitute value of p in any of two equations

we get

y=-q

thus (x,y)=(p,-q) is solution of above linear equations