Question

solve for w.
\\(\frac{7}{4w} - \frac{6}{w} = 1\\)
if there is more than one solution, separate them with comm
if there is no solution, click on
o solution\.

Explanation:

Step1: Find a common denominator

The common denominator of \(4w\) and \(w\) is \(4w\). Rewrite \(\frac{6}{w}\) with denominator \(4w\): \(\frac{6}{w}=\frac{24}{4w}\)
The equation becomes \(\frac{7}{4w}-\frac{24}{4w}=1\)

Step2: Combine the fractions

Subtract the numerators: \(\frac{7 - 24}{4w}=1\) which simplifies to \(\frac{-17}{4w}=1\)

Step3: Solve for \(w\)

Multiply both sides by \(4w\): \(-17 = 4w\)
Then divide both sides by \(4\): \(w=-\frac{17}{4}\)

Answer:

\(w = -\frac{17}{4}\)