Question

B/a×x + a/b×y=a×a+ b×b. ;. x+y=2ab. solve for x and y

Answer 1

Answer:

x= ab.      y= ab

Step-by-step explanation:

bx/a+ay/b = a^2+ b^2                 .............[1]

[x+y = 2ab]*b/a                            .............[2]

=> bx/a + by/a = 2b^2.                .............[3]

[3] - [1]

=> [b/a - a/b] y = 2b^2 - a^2 -b^2

=> [b^2 - a^2/ab]y  = b^2 - a^2

=> y = [b^2 - a^2] ab/b^2 - a^2

=> y = ab

put y=ab in [2]

x+y = 2ab

=> x= 2ab - y

=>x= 2ab -ab

=>x= ab