Question

(a-b)x + (a+b)y = a*2-2ab - b*2
(a+b) * (x+y) = a*2+b*2
please answer correctly and u won 100 points.hurry!up

Answer 1

Answer:

x = a + b   and   y = - 2ab/( a + b )

Step-by-step explanation:

Given pair of linear equations

• ( a - b )x + ( a + b )y = a² - 2ab - b² → ( 1 )
• ( a + b )( x + y ) = a² + b² → ( 2 )

On simplifying ( 2 )

⇒ ( a + b )x + ( a + b )y = a² + b² → ( 3 )

Subtracting ( 1 ) from ( 3 )

• ( a + b )x + ( a + b )y = a² + b²

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

• (-)           (-)                 (-)   (+)      (+)

_____________________________

• ( a + b )x - ( a - b )x = 2ab + b²

_____________________________

⇒ ax + bx - ax + bx = 2ab + 2b²

⇒ 2bx = 2b( a + b )

⇒ x = a + b

Substituting the value of x in ( 3 )

⇒ ( a + b )x + ( a + b )y = a² + b²

⇒ ( a + b )( a + b ) + ( a + b )y = a² + b²

⇒ ( a + b )² + ( a + b )y = a² + b²

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

⇒ 2ab + ( a + b )y = 0

⇒ ( a + b )y = - 2ab

⇒ y = - 2ab/ ( a + b )

Therefore we found the required answer.

Answer 2

Answer:

For showing Full answer click on photo