This is the basic and conceptual question from linear equations in two variables as it was already asked in various examinations in which we have given two equations x+y=a+b, ax-by=a²-b² and we have to find the value of variables x and y from the given equations
Kindly give me a detailed solution of this question
RS Aggarwal, Class 10, chapter 3B, question no 48
a(x+y)=a(a+b)
⇒ax+ay=a²+ab.........(1)
ax−by=a²−b²........(2)
(1)−(2) gives
(a+b)y=b(a+b)⇒y=b
Hence, From (1) x=a