Mathematics

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

2 Answer

  • 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:  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 :

    [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{2-1}{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.

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