CBSE Class 12-science Answered
a x b = b x c not equal to 0
post multiply by a
ax (a x b ) = a x (b x c)
a(a.b) - b (a.a) = b (a.c) - c (a.b)......(1)
now post multiply with c
c x(a x b ) = c x (b x c)
a(b.c) - b (a.c ) = b (c.c) - c (c.b) .....(2)
add (1) and (2)
(a+c) (a.b +b.c) = b ( a.a+a.c+c.c+a.c)
so a+ c = mb
where m = ( a.a+a.c+c.c+a.c) / (a.b +b.c)
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