CPM Homework Help : A2C Problem 11-41

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Home > A2C > Chapter 11 > Lesson 11.2.1 > Problem 11-41

11-41.

Solve each equation below for $x$ . Show all of your work. (Your answers will contain the variables a, b, and/or c.)

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

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

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

$ax^2 - acx = 0$
Hint (d):
Factor and use the Zero Product Property.

$\frac { x } { a + b } = \frac { 1 } { c }$
Hint (e):
Multiply both sides by $c(a + b)$ .

$\frac { 1 } { x }+ a = b$
Hint (f):
Subtract $a$ from both sides and take the reciprocal of both sides.

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