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
Mathematics
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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
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
2 Answer

1. User Answers thomaswhiting12
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 
2. User Answers ColinJacobus
Answer: The correct option is (D) 5.
Stepbystep 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 :
[tex]\dfrac{1}{3}z=\dfrac{5}{6}+\dfrac{1}{6}z\\\\\\\Rightarrow \dfrac{1}{3}z\dfrac{1}{6}z=\dfrac{5}{6}\\\\\\\Rightarrow \dfrac{21}{6}z=\dfrac{5}{6}\\\\\\\Rightarrow \dfrac{1}{6}z=\dfrac{5}{6}\\\\\\\Rightarrow z=5.[/tex]
Thus, the required value of z is 5.
Option (D) is CORRECT.