Problem of the Week

Updated at Apr 29, 2019 4:59 PM

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

How would you solve 34(34t)=233-4(3-4t)=23?

Check out the solution below!



34(34t)=233-4(3-4t)=23

1
Subtract 33 from both sides.
4(34t)=233-4(3-4t)=23-3

2
Simplify  23323-3  to  2020.
4(34t)=20-4(3-4t)=20

3
Divide both sides by 4-4.
34t=2043-4t=-\frac{20}{4}

4
Simplify  204\frac{20}{4}  to  55.
34t=53-4t=-5

5
Subtract 33 from both sides.
4t=53-4t=-5-3

6
Simplify  53-5-3  to  8-8.
4t=8-4t=-8

7
Divide both sides by 4-4.
t=84t=\frac{-8}{-4}

8
Two negatives make a positive.
t=84t=\frac{8}{4}

9
Simplify  84\frac{8}{4}  to  22.
t=2t=2

Done