## Solve the value for x and y =? (a-b)x+(a+b)y=a²-2ab+b² (a+b)(x+y)=a²-b²

Question Solve the value for x and y =?
(a-b)x+(a+b)y=a²-2ab+b²
(a+b)(x+y)=a²-b²
wrong answer will be deleted at the spot.​

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1 month 2021-08-21T12:00:47+00:00 2 Answers 0 views 0

1. Question :

Solve the value for x and y =?

(a-b)x+ (a+b)y = a²- 2ab + b²

(a+b) (x+y) = a²- b²

Solution :

Given :

⇒ (a-b)x + (a+b)y = a²- 2ab + b²
………….. (i)

⇒ (a + b)(x + y) = a² – b²

⇒ (a + b)x + (a + b)y = a² – b²………….. (ii)

Now substracting (i) from (ii) :-

⇒ (a + b)x + (a + b)y – (a – b)x – (a + b)y = a² – b² – a² + 2ab – b²

⇒ x(a + b – a + b) = 2ab – 2b²

⇒ x(2b) = 2b(a – b)

⇒ x = 2b(a – b)/2b

x = a – b

Now putting value of ‘x’ in equation (i) :-

⇒ (a – b)(a – b) + (a + b)y = a² – 2ab + b²

⇒ (a – b)² + (a + b)y = (a – b)²

⇒ (a + b)y = (a – b)² – (a – b)²

⇒ (a + b)y = 0

⇒ y = 0/(a + b)

y = 0  2. 1. 2.  • The value of “x” and “y” . ☯︎ First of all solve the first given equation . ☯︎ Secondly, solve the second given equation .  ➪ Now, putting the value of “a(x + y)” in the equation (1);  ➪ Now, putting the value of “x” in the equation (2);   The value of x is “(a b)” and the value of y is “0” .