Question

find the value of x and y.
x/a+y/b=2,ax-by=a2-b2.​

Answer 1

x/a + y/b = 2       ---(1) ax-by= a2 - b2  ----(2)x/a = 2-y/b x    = 2a - ay/b substitute x in (2). a(2a - ay/b) - by = a2 - b2 2a2 - a2y/b - by = a2 -b2 a2 - a2y/b -by+ b2 = 0 a2 +b2 = a2y/b + by a2 + b2 = (a2y + b2y)/b b(a2 + b2) = (a2 + b2)y therefore, y = b x/a +y/b =2  -----(1) x/a +b/b =2 x/a =2-1 x = atherefore x=a

Answer 2

Step-by-step explanation:x/a + y/b = 2 ---(1) ax-by= a2 - b2 ----(2) x/a = 2-y/b x = 2a - ay/b substitute x in (2). a(2a - ay/b) - by = a2 - b2 2a2 - a2y/b - by = a2 -b2 a2 - a2y/b -by+ b2 = 0 a2 +b2 = a2y/b + by a2 + b2 = (a2y + b2y)/b b(a2 + b2) = (a2 + b2)y therefore, y = b x/a +y/b =2 -----(1) x/a +b/b =2 x/a =2-1 x = a therefore x=a

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