Question

if a x + B Y is equal to a square minus b square and b x + A Y is equal to zero find the value of x + Y​

Answer 1

Answer:

x + y = a + b

Step-by-step explanation:

Given:

ax + by = a² - b² ; bx + ay = 0

then x + y = ?

Adding given equations ,

ax + by + bx + ay = a²- b²

(a+b) x + (a+b) y = a²- b²

(a+b) (x+y) = a²- b²

(a+b) (x+y) = (a+b) (a-b)

x + y = a - b