x + y = a +b; ax - by = a²-b²
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x+y = a+b..... (i)
ax-by = a2-b2.....(ii)
From (i) x=a+b-y
putting in (ii)
a(a+b-y)-by = a2-b2
or, a2+ab-ay-by = a2-b2
or, ab-(a+b)y = -b2
or, y= -b2-ab/-(a+b)
= b2+ab/a+b
Now, x = a+b-y
= a+b -(b2+ab/a+b)
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