Solve (a-b) x+(a+b)y = a square - 2ab - b square and (a+b) (x+y) =a square + b square
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Answer:
x = a + b ,
y = -2ab/( a + b )
Step-by-step explanation:
a - b )x + ( a+ b )y = a² - 2ab - b² --( 1 )
( a + b )( x + y ) = a² + b²
( a + b )x + ( a + b )y = a² + b² -----( 2 )
subtract equation ( 1 ) from ( 2 ) , we get
[ a + b - ( a - b )]x = 2ab +2b²
( a + b - a + b ) x = 2b( a + b )
2bx = 2b( a + b )
x = ( a + b ) ----( 3 )
substitute x value in equation ( 1 ) , we get
( a - b )( a + b ) + ( a + b )y = a² - 2ab - b²
a² - b² + ( a + b )y = a² - 2ab - b²
( a + b )y = -2ab
y = -2ab /( a + b )
Therefore ,
x = a + b ,
y = -2ab/( a + b )
I hope this helps you.
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check the solution in attachment please
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