Solve:x+y=a+bax-by=a²-b²

1.	Solve:x+y=a+bax-by=a²-b²
Answer» x + y = a + b …(i)ax – by = a2\xa0– b2…(ii)To solve these equations, we need to make one of the variables (in both the equations) have same coefficient.Lets multiply equation (i) by b, so that variable y in both the equations have same coefficient.Recalling equations (i) & (ii),x + y = a + b\xa0[×bax – by = a2\xa0– b2⇒\xa0bx + ax = ab + a2⇒\xa0(b + a)x = a(b + a)⇒\xa0x = aSubstitute x = a in equations (i)/(ii), as per convenience of solving.Thus, substituting in equation (i), we geta + y = a + b⇒\xa0y = bHence, we have x = a and y = b.

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