Question

i need answer with full steps

Answer 1

Answer:

x = a², y = b²

Step-by-step explanation:

Given Equations are:

(i) (a²/x) - (b²/y) = 0

(ii) (a²b/x) + (b²a/y) = a + b

Now,

On solving (i) * a & (ii), we get

⇒ (a³/x) - (ab²/y) = 0

⇒ (a²b/x) + (ab²/y) = a + b

   ----------------------------------

     (a³/x) + (a²b/x) = a + b

      a³ + a²b = ax + xb

      a²(a + b) = x(a + b)

        x = a²

Substitute x = a² in (i), we get

⇒ (a²/x) - (b²/y) = 0

⇒ (a²/a²) - (b²/y) = 0

⇒ 1 - b²/y = 0

⇒ b²/y = 1

⇒ y = b²

Therefore:

The values are x = a², y = b²

Hope it helps!