Question

the solution of x+y=a-b and ax-by + a²+b² is​

Answer 1

Given equations are x + y = a – b …(i)

ax – by = a2 + b2 …(ii)

From eqn (i), x = a – b – y …(iii

On substituting x = a – b – y in eqn

(ii), we get ⇒ a(a – b – y) – by = a2 + b2 ⇒ a2 – ab – ay – by = a2 + b2 ⇒ – ab – y(a + b) = b2 ⇒ – y(a + b) = b2 + ab

Now, on putting y = – b in eqn (iii), we get ⇒ x = a – b – ( – b) ⇒ x = a Thus, x = a and y = – b.

please mark as brainliest

Answer 2

Answer:

Given equations are x + y = a – b …(i)

ax – by = a2 + b2 …(ii)

From eqn (i), x = a – b – y …(iii

On substituting x = a – b – y in eqn

(ii), we get ⇒ a(a – b – y) – by = a2 + b2 ⇒ a2 – ab – ay – by = a2 + b2 ⇒ – ab – y(a + b) = b2 ⇒ – y(a + b) = b2 + ab

Now, on putting y = – b in eqn (iii), we get ⇒ x = a – b – ( – b) ⇒ x = a Thus, x = a and y = – b.

please mark as brainliest