Make b the subject of the relation a(n+b)=b(n+c)
To make b the subject of the relation a(n+b)=b(n+c), we can follow these steps:
1. Expand the expression on the left side of the equation:
an + ab = bn + bc
2. Group the terms with b on one side of the equation:
ab - bn = bc - an
3. Factor out b on the left side:
b(a - n) = bc - an
4. Divide both sides of the equation by (a - n):
b = (bc - an)/(a - n)
Therefore, the equation b = (bc - an)/(a - n) makes b the subject of the relation a(n+b)=b(n+c).