# How do you solve 7/4z - 1/6 = 17/6 + 3/4z?

Apr 27, 2018

color(blue)(z = 3

#### Explanation:

$\left(\frac{7}{4}\right) z - \frac{1}{6} = \frac{17}{6} + \left(\frac{3}{4}\right) z$

$\left(\frac{7}{4}\right) z - \left(\frac{3}{4}\right) z = \frac{17}{6} + \frac{1}{6} , \text{ bringing like terms together}$

$\left(\frac{7 - 3}{4}\right) z = \frac{17 + 1}{6} , \text{ combining terms using common denominator}$

$\left(\frac{\cancel{4}}{\cancel{4}}\right) z = \left({\cancel{18}}^{\textcolor{red}{3}} / \cancel{6}\right)$

color(blue)(z = 3