Math, asked by nanduss, 11 months ago

plzz answer me this question it's urgent​

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Answered by sri1407
1

Answer:

Step-by-step explanation:Given ax + by = 1 , bx+ay = [(a+b)2 ]/ [a2 +b2] - 1

ax + by = 1  ----------------(1) , bx+ay = 2ab/ [a2 +b2]  --------------(2)

adding (1) and (2)

(a+b)x + (a+b)y = 1 + 2ab/ [a2 +b2]  

(a+b)(x + y)  = (a+b)2 / [a2 +b2]  

x + y = (a+b) / [a2 +b2]   ---------------(3)

substracting (2) from (1)

(a-b)x - (a-b)y = 1 - 2ab/ [a2 +b2]  

(a-b)(x - y)  = (a-b)2 / [a2 +b2]  

x - y = (a-b) / [a2 +b2]   ---------------(4)

adding (3) and (4)

2x = 2a / (a2 +b2)

x  = a / (a2 +b2) .

substracting (4) from (3)

2y = 2b / (a2 +b2 )

y = b / (a2 +b2 )Therefore the solution x  = a / (a2 +b2)   y = b / (a2 +b2 )

hope it would be helpful..................


nanduss: thank uuu
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