Question

ax+by=a²
bx+ay=b²
FIND THE VALUE OF x AND y by USING ANY METHOD {substution,elimination,cross-multiplication method

Answer 1

1)  a x + b y = a²
2)  b x + a y = b²

   (1) * b - (2) * a =>    (b² - a²) y = ab (a - b)

  either a = b,  or
        y = - a b / (a + b)        then b x = b² + a² b / (a+b)
   =>       x =  (a² + ab + b²) / (a + b)  ,   if a+ b ≠ 0

If  a  = b,  then x + y = a   ie.,  x = a - y    this has infinite number of solutions.
Otherwise, there is one solution,   and  a + b ≠ 0.
 

Answer 2

Step-by-step explanation:

right answer.............