Question

x + y = a - b , ax - by = a^2 + b^2 Find y and x​

Answer 1

Step-by-step explanation:

The given system of equations may be written as

x+y−(a+b)=0

ax−by−(a 2−b 2 )=0

By cross-multiplication, we get

−(a 2 −b 2 )−(−b)×−(a+b)x = −(a 2−b 2)−a×−(a+b)−y = 1×−b−a×11

⇒−a 2+b 2−ab−b 2x= −a 2 +b 2+a 2+ab−y= −b−a1

⇒−a(a+b)x= b(a+b)−y= −(a+b)1

⇒−a(a+b)x= −b(a+b)y = −(a+b)1

⇒x= −(a+b)−a(a+b) =a

and

y= −(a+b)−b(a+b) =b

Hence, the solution of the given system of equations is x=a,y=b.

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Answer 2

Step-by-step explanation:

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