Question

What is the value of z for the equation fraction 1 over 3z = −fraction 5 over 6 + fraction 1 over 6z? 5 2 −2 −5

Answer 1

We will multiply both sides of an equation by  6 z :

$\frac{1}{3z}=- \frac{5}{6}+ \frac{1}{6z} /*6z$
$\frac{6z}{3z}=- \frac{30z}{6}+ \frac{6z}{6z}$
2=-5z+1
2-1=-5z
1=-5z
$z=- \frac{1}{5}$