Without solving determine whether the solution of 1/3x = 21 is greater than or less than 21. Explain
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.
Solving the linear equation
\(\rightarrow\frac{x}{3}=21\\\\\text{Multiplying by 3 on both sides}\\\\\rightarrow\frac{x}{3} \times 3=21\times 3\\\\x=63\)
→63>21,
that is, solution of the linear equation is greater than 21.