CPM Homework Help : CAAC Problem 5-17

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Home > CAAC > Chapter 5 > Lesson 5.1.2 > Problem 5-17

5-17.

When solving = for x, Nathan noticed that x is divided by 6. What can he do to both sides of the equation to get x alone? Homework Help ✎
1. Solve for x. Then check your solution in the original equation.
2. Use the same process to solve this equation for x: = .

Answer (a):

Undo the division by multiplying by 6.

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:

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

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

$2\cdot15=30$

$30=30$

Hint (c):

Use the same methods shown in parts (a) and (b).

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