# How do you solve  |5 - t| = 3?

Jul 15, 2016

Edit: The answer can also be 8.

#### Explanation:

The first case gives:

$5 - t = 3$

solve for t

$- t = 3 - 5$

$- t = - 2$

$\implies t = 2$

Edit: What the magnitude function does here is transform negative solutions to positive, this means that we have two cases:

$5 - t = 3$ as the original answer had

and

$5 - t = - 3$

$\therefore t = 5 - 3 \mathmr{and} t = 5 + 3$

$\implies t = 2 \mathmr{and} 8$