# How do you solve z/2.8 = -6.2?

Jun 20, 2015

Multiply both sides of the equation by $2.8$ to get:

$z = - 6.2 \cdot 2.8 = - 17.36$

#### Explanation:

The truth of an equation is preserved by any of the following operations:

(1) Add or subtract the same value on both sides.
(2) Multiply or divide both sides by the same non-zero value.

Note that you can also do things like square both sides of an equation, but this can introduce spurious solutions: that is the new equation may have solutions that the old one does not.