Problem of the Week

Updated at May 5, 2025 4:44 PM

To get more practice in equation, we brought you this problem of the week:

How would you solve \(\frac{w}{5}-4w=-\frac{57}{5}\)?

Check out the solution below!



\[\frac{w}{5}-4w=-\frac{57}{5}\]

1
Simplify  \(\frac{w}{5}-4w\)  to  \(-\frac{19w}{5}\).
\[-\frac{19w}{5}=-\frac{57}{5}\]

2
Multiply both sides by \(5\).
\[-19w=-\frac{57}{5}\times 5\]

3
Cancel \(5\).
\[-19w=-57\]

4
Divide both sides by \(-19\).
\[w=\frac{-57}{-19}\]

5
Two negatives make a positive.
\[w=\frac{57}{19}\]

6
Simplify  \(\frac{57}{19}\)  to  \(3\).
\[w=3\]

Done
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