### Home > A2C > Chapter 11 > Lesson 11.2.1 > Problem11-41

11-41.

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

1. $cx - a = b$

$x=\frac{a+b}{c}$

1. $\frac { x } { a }- b = c$

$x = ab + ac$

1. $(x - a)(x - b) = 0$

$x = a$ or $x = b$

1. $ax^2 - acx = 0$

Factor and use the Zero Product Property.

1. $\frac { x } { a + b } = \frac { 1 } { c }$

Multiply both sides by $c(a + b)$.

1. $\frac { 1 } { x }+ a = b$

Subtract $a$ from both sides and take the reciprocal of both sides.