CPM Homework Help : INT2 Problem 2-41

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Home > INT2 > Chapter 2 > Lesson 2.1.4 > Problem 2-41

2-41.

Solve each equation below. Show all work and check your answer.

$\frac{14}{5}=\frac{x}{3}$
Step 1(a):
Multiply both sides by the lowest common denominator.
$\left(\frac{14}{5} = \frac{x}{3}\right)(15)$
$14\cdot3 = x\cdot5$
Step 2(a):
Solve for $x$ .
$42 = 5x$
$x=8.4$
Step 3(a):
Check your answer.
If $x=8.4$ , then $\frac{14}{5}=\frac{8.4}{3}$
$2.8 = 2.8$

$\frac{10}{m}=\frac{5}{11}$
Answer (b):
$m=22$

$\frac{t-2}{12}=\frac{7}{8}$
Hint (c):
When finding the product of the lowest common denominator and a binomial, remember to distribute to both terms.

$\frac{x+1}{5}=\frac{x}{3}$
Hint (d):
See parts (a) and (c).

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