Question

Slove a+b into x+y=a square+b square

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

Answer:

Value of x is a + b and y is -2ab/(a+b).

Step-by-step explanation:

Given system of equation,

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

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

We need to solve for x and y.

We solve by elimination method.

Subtract (2) from (1),

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

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

( a - b )x - ( a + b )x = - 2ab - 2b²

( a - b - a - b )x = -2b ( a + b )

( -2b )x = -2b( a + b )

x = -2b( a + b ) / (-2b)

x = a + b

put this value in (1),

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

a² - b² + ( a + b )y = a² - 2ab - b²

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

( a + b )y = -2ab

y = -2ab/(a+b)

Therefore, Value of x is a + b and y is -2ab/(a+b).

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