Question

Without solving determine whether the solution of 1/3x = 21 is greater than or less than 21. Explain

Answer 1

Without solving, the solution is greater than 21.  The can be proven because a fraction of x is equal to 21, therefore x cannot be less than 21.  

Answer 2

Solving the linear equation

`\rightarrow(x)/(3)=21\\\\\text{Multiplying by 3 on both sides}\\\\\rightarrow(x)/(3) * 3=21* 3\\\\x=63`

→63>21,

that is, solution of the linear equation is greater than 21.