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

Explanation:

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