### Home > GB8I > Chapter 10 Unit 11 > Lesson INT1: 10.2.2 > Problem10-96

10-96.

Solve the equations, if possible. Be sure to find all possible solutions. Explain or justify your steps for part (a).

1. $9(x − 4) = 81$

Divide both sides by $9$ or distribute $9$ into the $\left(x −4\right)$ factor.

1. $| x - 6 |= 2$

The absolute value of what two numbers equals $2$?

1. $\frac { 1 } { x } + 5 = \frac { 16 } { 3 }$

Subtract 5 from both sides.

$\frac{1}{x}=\frac{1}{3} \text{ So what does }x \text{ have to be?}$

1. $2| x + 1 |= −4$

Can the absolute value of a number be negative?