Problem of the Week

Updated at Mar 15, 2021 2:39 PM

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

How can we solve the equation 55(z5+2)=125\frac{5}{5}(\frac{z}{5}+2)=\frac{12}{5}?

Check out the solution below!



55(z5+2)=125\frac{5}{5}(\frac{z}{5}+2)=\frac{12}{5}

1
Cancel 55.
1×(z5+2)=1251\times (\frac{z}{5}+2)=\frac{12}{5}

2
Simplify  1×(z5+2)1\times (\frac{z}{5}+2)  to  (z5+2)(\frac{z}{5}+2).
z5+2=125\frac{z}{5}+2=\frac{12}{5}

3
Subtract 22 from both sides.
z5=125−2\frac{z}{5}=\frac{12}{5}-2

4
Simplify  125−2\frac{12}{5}-2  to  25\frac{2}{5}.
z5=25\frac{z}{5}=\frac{2}{5}

5
Multiply both sides by 55.
z=25×5z=\frac{2}{5}\times 5

6
Cancel 55.
z=2z=2

Done
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