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x+y=a+b,ax-by=a²-b² solve for the value of x and y by substitution

Posted by Krish Pal 4 years, 8 months ago

CBSE > Class 10 > Mathematics

2 answers

Shobha Kumari 4 years, 8 months ago

Given,eqn =x+y=a+b................ (1) And =ax-by=a2-b2........... (2) From (1)*b+(2) =bx+by=ab+b2 =ax-by =a2-b2 =ax+bx=a2+ab =X(a+b)=a(a+b) =X=a Now,on putting x=a in eqn 1 =x+y=a+b =a+y=a+b =y=a Hence,x=a and y =b

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Muskan Sharma 4 years, 8 months ago

Given:- equation x+y= a+b and ax - by= a² - b² Solution:- Let x+y =a+b......(1) and ax - by = a² - b² .......(2) Substitute x from (1) in equation (2) a( a+b-y)- by = a²-b² a²+ab-ay-by =a²-b² ab-ay-by=b² ab-y(a+b)=-b² y(a+b)=ab+b² y(a+b)=b(a+b) y=b Substitute y in equation (1)... x+y= a+b x=a+b-b x=a x=a and y=b .

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CBSE > Class 10 > Mathematics