joseph8635
joseph8635 joseph8635
  • 13-12-2020
  • Physics
contestada

if A.B=A.C
does this imply that B must be equal to c ?
I need answer with example please ​

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BrainLifting
BrainLifting BrainLifting
  • 13-12-2020

Answer:

Yes

Explanation:

[tex]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,\\\frac{a*b}{a} =\frac{a*c}{a}\\Hence,\\b=c[/tex]

[tex]Ex: \\Consider\ a=5, b=6.\\Hence\ if,\\a*b=a*c\\5*6=5*c\\Hence,\\30=5c\\Hence, c=\frac{30}{5}\\c=6\\As\ b\ also\ equals\ to\ 6,\\b=c[/tex]

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