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[" 41."(x)/(a)+(y)/(b)=2],[" ax "-by=a^(...

[" 41."(x)/(a)+(y)/(b)=2],[" ax "-by=a^(2)-b^(2)" .[CBSE "2005]]

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Solve: (x)/(a)+(y)/(b)=2,quad ax-by=a^(2)-b^(2)

(x)/(a)-(y)/(b)=0,ax+by=a^(2)+b^(2)

x+y=a+b,ax-by=a^(2)-b^(2)

Solve for xandy: (x)/(a)+(y)/(b)=2,ax-by=a^(2)-b^(2)

The value of y which satisfies (x)/(a)=(y)/(b) and ax+by=a^(2)+b^(2) is

{:(x + y = a + b),(ax - by = a^(2) - b^(2)):}

{:(ax - by = a^(2) + b^(2)),(x + y = 2a):}

{:(ax - by = a^(2) + b^(2)),(x + y = 2a):}

y = (ax + b) e^(-2x)