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

What is the value of z for the equation fraction 1 over 4z = −fraction 7 over 8 + fraction-example-1
User Yvesonline
by
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1 Answer

4 votes

-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

User Jacki
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