Question

will fan and medal !

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

@Mehek14

Answer 2

if you get please explain don't just give the answer

Answer 3

@legomyego180

Answer 4

Could you rewrite this using the equation tool, or post a picture? I cant get a grasp of what the problem looks like.

Answer 5

ok

Answer 6

@legomyego180

Answer 7

better?

Answer 8

Yea,
\[\frac{ 1 }{ 3 }z=-\frac{ 5 }{ 6 }+\frac{ 1 }{ 6 }z\]

Lets rewrite this as:
\[\frac{ 1 }{ 3 }z=-\frac{ 1 }{ 6 }z-\frac{ 5 }{ 6 }\]

Answer 9

one sec

Answer 10

It's me alphina one sec

Answer 11

ok

Answer 12

I've got the answer, its just a longer process

Answer 13

ok

Answer 14

So first off you want to get ride of the one third on the left. So multiply everything on the left by 3. This gives you:
\[z=\frac{ 1 }{ 2 }z-\frac{ 15 }{ 6 }\]
Next you want to get everything with a Z on the same side.
\[\frac{ 1 }{ 2 }z-z=\frac{ 15 }{ 6 }\]
Now you need to factor out your z's on the left hand side.
\[z(\frac{ 1 }{ 2 }-1)=\frac{ 15 }{ 6 }\]

\[z(-\frac{ 1 }{ 2 })=\frac{ 15 }{ 6 }\]

Now divide the right side by (-1/2) aka multiply it by -2 which gives your -30/6 which simplifies to -5

Answer 15

thanks :D