Question

Please Help me!

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

1/3z = -5/6 + 1/6z which can be rewritten as z/3 = -5/6 + z/6, solve for z

1. Multiply equation by 6
2z = -5 + z
2. Subtract z over to left side
2z - z= -5
z = -5
3. ANSWER: z = -5

Answer 2

Answer: The correct option is (D) -5.

Step-by-step explanation: We are to find the value of z for the following equation :

"fraction 1 over 3 z = −fraction 5 over 6 + fraction 1 over 6 z".

The given equation can be written and solved as follows :

`(1)/(3)z=-(5)/(6)+(1)/(6)z\\\\\\\Rightarrow (1)/(3)z-(1)/(6)z=-(5)/(6)\\\\\\\Rightarrow (2-1)/(6)z=-(5)/(6)\\\\\\\Rightarrow (1)/(6)z=-(5)/(6)\\\\\\\Rightarrow z=-5.`

Thus, the required value of z is -5.

Option (D) is CORRECT.