Question

(a-b)x+(a+b)y=a²-2ab-b², (a+b)(x+y)=a+b
solve this by elimination method​

Answer 1

a²+b²+2ab is equal to (a+b)²

So (a+b)²/(a+b)

Also it can be written as (a+b)(a+b)/(a+b)

One (a+b) in numerator is cancelled by (a+b) in denominator

So only (a+b) is left in numerator

Ans is (a+b)

Answer 2

Answer:

Step-by-step explanation:

(a + b) x + (a + b) y = a² + b²... (2)

Subtracting equation (2) from (1), we obtain

(a - b) x (a + b) x = (a² - 2ab-b²) - -

(a² + b²)

(a - b - a - b) x = - 2ab - 2b² - 2bx = -2b (a + b)

x = a + b

Using equation (1), we obtain

(a - b) (a + b) + (a + b) y = a2 - 2ab-b²

a²-b²+ (a + b) y = a² - 2ab-b²

(a + b) y = -2

'y = (-2ab)/(a+b)