# How do you solve |1 - 4t| = 9?

Sep 2, 2016

$t = \frac{5}{2} \text{ or } t = - 2$

#### Explanation:

Consider: $| - 9 | = 9 \text{ and } | + 9 | = 9$

So the conditions we are testing for is $1 - 4 t = \pm 9$

Suppose $1 - 4 t = 9$

$\implies 4 t = 1 - 9$

$4 t = - 8$

$t = - 2$

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Suppose $1 - 4 t = - 9$

$4 t = 1 + 9$

$t = \frac{10}{4} = \frac{5}{2}$