When solving $\frac{x}{6}=\frac{5}{2}$ for $x$, Nathan noticed that $x$ is divided by $6$.  

1. What can he do to both sides of the equation to get $x$ alone?

   Answer (a):

   Undo the division by multiplying by $6$.

2. Solve for $x$. Then check your solution in the original equation.

   Hint (b):

   $\frac{\textit{x}}{6}=\frac{5}{2}$

   $\frac{x}{6}\cdot6=\frac{5}{2}\cdot6$

   $\frac{6x}{6}=\frac{30}{2}$

   Answer (b):

   $x=15$

   CHECK

   $\frac{x}{6}=\frac{5}{2}$

   If $x=15$:

   $\frac{15}{6}=\frac{5}{2}$

   $15=\frac{5}{2}\cdot6$

   $2\cdot15=30$

   $30=30$

3. Use the same process to solve this equation for $x$: $\frac{x}{10}=\ \frac{2}{5}$.

• Answer (c):

  $x=4$