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

9514 1404 393

Answer:

  -1/5

Step-by-step explanation:

  $\dfrac{1}{3z}=-\dfrac{5}{6}+\dfrac{1}{6z}\qquad\text{given}\\\\2=-5z+1\qquad\text{multiply by 6z }\\\\1=-5z\qquad\text{subtract 1}\\\\\boxed{-\dfrac{1}{5}=z}\qquad\text{divide by -5 }$