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

1.	x+y=a+b,ax-by=a²-b² solve for the value of x and y by substitution
Answer» 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=aNow,on putting x=a in eqn 1=x+y=a+b =a+y=a+b=y=aHence,x=a and y =b Given:- equation x+y= a+b and ax - by= a² - b²Solution:- 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-b²a²+ab-ay-by =a²-b²ab-ay-by=b²ab-y(a+b)=-b²y(a+b)=ab+b²y(a+b)=b(a+b)y=bSubstitute y in equation (1)...x+y= a+bx=a+b-bx=ax=a and y=b .

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