Question

What is the value of z for the equation fraction 1 over 4z = −fraction 7 over 8 + fraction 1 over 8z? −3−737

Answer 1

-7

Step-by-step explanation

Step 1

given

`(1)/(4)z=-(7)/(8)+(1)/(8)z`

subtrac (1/4)z in both sides

`\begin{gathered} (1)/(4)z=-(7)/(8)+(1)/(8)z \\ (1)/(4)z-(1)/(4)z=-(7)/(8)+(1)/(8)z-(1)/(4)z \\ 0=-(7)/(8)-(1)/(8)z \end{gathered}`

Step 2

add 7/8 in both sides

`\begin{gathered} 0=-(7)/(8)-(1)/(8)z \\ 0+(7)/(8)=-(7)/(8)-(1)/(8)z+(7)/(8) \\ (7)/(8)=-(1)/(8)z \\ \end{gathered}`

finally, multiply both sides by -8 in order to isolate z

`\begin{gathered} (7)/(8)=-(1)/(8)z \\ (7)/(8)*-8=-(1)/(8)z*-8 \\ -7=z \end{gathered}`

therefore, the answer is

-7

I hope this helps you