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CBSE Class 10 Answered

solve for x and y:
 
x+y=a+b
 
ax+by=a^2 + b^2
Asked by Shivam Mishra | 17 Aug, 2014, 08:47: PM
answered-by-expert Expert Answer
G i v e n space T w o space e q u a t i o n s space a r e x plus y equals a plus b a x plus b y equals a squared plus b squared M u l t i p l y space e q space 1 space w i t h space a space a n d space s u b t r a c t space i t space f r o m space 2 space w e space g e t open parentheses a minus b close parentheses y equals a squared plus a b minus a squared minus b squared rightwards double arrow y equals fraction numerator minus b squared plus a b over denominator a minus b end fraction S u b s t i t u t e space y space i n space f i r s t space e q u a t i o n space w e space g e t x equals a plus b minus fraction numerator a b minus b squared over denominator a minus b end fraction x equals fraction numerator a squared minus b squared minus a b plus b squared over denominator a minus b end fraction equals fraction numerator a squared minus a b over denominator a minus b end fraction therefore x equals fraction numerator a squared minus a b over denominator a minus b end fraction comma space y equals fraction numerator a b minus b squared over denominator a minus b end fraction
Answered by Dharma Teja | 17 Aug, 2014, 11:28: PM

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