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
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
\(z=- \frac{1}{5}\)