CPM Homework Help : CC3 Problem 7-74

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Home > CC3 > Chapter 7 > Lesson 7.2.4 > Problem 7-74

7-74.

Solve each of the following equations.

$\frac { 1 } { 6 } x + \frac { 2 } { 3 } = \frac { 1 } { 4 } x - \frac { 1 } { 3 }$
Hint (a):
Multiply through the equation to get rid of the fractions.
Use a common denominator of $24$ :
$4x+16=6x−8$
More Help (a):
Combine like terms and solve for $x$ .
Answer (a):
$x=12$

$0.15(w+2)=0.3+0.2w$
Hint (b):
Multiply $(w+2)$ by $0.15$ and combine like terms.
Multiplying by $100$ could also be useful to eliminate the decimals.
Answer (b):
$w=0$

$\frac { 8 x } { 6 } = \frac { 72 } { 54 }$
Hint (c):
Refer to (a) for help.
Find a common denominator and solve for $x$ .

$3(2x−7)=5x+17+x$
Hint (d):
Refer to (b) for help.

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