Question

If A.B=A.C

does this imply that B must be equal to c ?
I need answer with example please ​

Answer 1

Yes

Step-by-step explanation:

`Consider\ three\ variables\ a,b\ and\ c.\\If,\\ab=ac\\a*b=a*c\\We\ may\ now\ divide\ the\ LHS\ and\ RHS\ by\ a,\\Hence,\\(a*b)/(a) =(a*c)/(a)\\Hence,\\b=c`

`Ex: \\Consider\ a=5, b=6.\\Hence\ if,\\a*b=a*c\\5*6=5*c\\Hence,\\30=5c\\Hence, c=(30)/(5)\\c=6\\As\ b\ also\ equals\ to\ 6,\\b=c`