Problem of the Week

Updated at Apr 15, 2024 9:04 AM

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

How would you solve the equation \(\frac{8(3-v)}{4v}=-\frac{4}{5}\)?

Check out the solution below!



\[\frac{8(3-v)}{4v}=-\frac{4}{5}\]

1
Simplify  \(\frac{8(3-v)}{4v}\)  to  \(\frac{2(3-v)}{v}\).
\[\frac{2(3-v)}{v}=-\frac{4}{5}\]

2
Multiply both sides by \(v\).
\[2(3-v)=-\frac{4v}{5}\]

3
Multiply both sides by \(5\).
\[10(3-v)=-4v\]

4
Expand.
\[30-10v=-4v\]

5
Add \(10v\) to both sides.
\[30=-4v+10v\]

6
Simplify  \(-4v+10v\)  to  \(6v\).
\[30=6v\]

7
Divide both sides by \(6\).
\[\frac{30}{6}=v\]

8
Simplify  \(\frac{30}{6}\)  to  \(5\).
\[5=v\]

9
Switch sides.
\[v=5\]

Done
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