### Home > CC4 > Chapter 3 > Lesson 3.1.5 > Problem3-57

3-57.

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

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

Undo the division by multiplying by 6.

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

• $\frac{\textit{x}}{6}=\frac{5}{2}$

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

• $\frac{6x}{6}=\frac{30}{2}$

• x = 15

CHECK

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

If x = 15:

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

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

$2\cdot15=30$

$30=30$

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

• x = 4