Problem of the Week

Updated at Aug 9, 2021 9:12 AM

How can we solve the equation \(4\times \frac{5}{4(3-y)}=5\)?

Below is the solution.



\[4\times \frac{5}{4(3-y)}=5\]

1
Cancel \(4\).
\[\frac{5}{3-y}=5\]

2
Multiply both sides by \(3-y\).
\[5=5(3-y)\]

3
Divide both sides by \(5\).
\[1=3-y\]

4
Subtract \(3\) from both sides.
\[1-3=-y\]

5
Simplify  \(1-3\)  to  \(-2\).
\[-2=-y\]

6
Multiply both sides by \(-1\).
\[2=y\]

7
Switch sides.
\[y=2\]

Done
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