If a*b=2a+b such that 2*3=2(2)+3,find (i) b when 3*b=b*5
(ii) d when d*(3*d)=(d*3)*d
(i)
3*b = 2*3+b = 6+b
b*5 = 2*b + 5 = 2b+5
so,
6+b = 2b+5
b = 1
(ii)
3*d = 6+d
d*(3*d) = 2d+(6+d) = 3d+6
d*3 = 2d+3
(d*3)*d = 2(2d+3)+d = 5d+6
so,
3d+6 = 5d+6
d = 0