Respuesta :

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

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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