Question

x÷a+y÷b=2
ax – by = a^2-b^2
​

Answer 1

Answer:

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