CPM Homework Help : INT3 Problem 10-60

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10-60.

Solve each equation below for $x$ . Show all of your work. (Assume denominators of zero are already excluded.)

$c x - a = b$
Answer (a):
$x=\frac{a+b}{c}$

$\frac { x } { a } - b ^ { 2 } = c$
Answer (b):
$x = ab^{2} + ac$

$( x - a ) ( x - b ) = 0$
Answer (c):
$x = a, b$

$a x ^ { 3 } - a c x ^ { 2 } = 0$
Hint (d):
Factor and use the Zero Product Property.

$\frac { x } { a + b } = \frac { 1 } { c }$
Hint (e):
Multiply both sides by the common denominator, $c\left(a + b\right)$ .

$\frac { 1 } { x ^ { 3 } } + a = b$
Hint (f):
Subtract a from both sides and then multiply both sides by $x^{3}$ .
Isolate and solve for $x$ .

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