CPM Homework Help : CC3 Problem 9-61

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Home > CC3 > Chapter 9 > Lesson 9.2.1 > Problem 9-61

9-61.

Solve these equations for $x$ . Check your answers.

$2\left(x + 4.5\right) = 32$
Step 1 (a):
Distribute.
$2(x) + 2(4.5) = 32$
Step 2 (a):
Subtract 9 from both sides.
$2x + 9 = 32$
$\:\:\:\:−9 \:\:\:\:−9$
$2x = 23$
Step 3 (a):
Divide by $2$ .
$\frac{2{\it x}}{2} = \frac{23}{2}$
Answer (a):
$x = 11.5$

$6 + 2.5x = 21$
Hint (b):
Isolate the variable.
More Help (b):
See part (a).

$\frac { x } { 9 } = \frac { 5 } { 16 }$
Hint (c):
You could cross multiply.
$16x = 5(9)$
Answer (c):
${\it x} = \frac{45}{16}$

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