SOLUTION: Please and thank you for the help. I am missing something and can't figure out what I've done wrong. 1. 2/3 + 4t = 6t - 2/15 2. 0.76 + 0.21t = 0.96t - 0.49 3. 1/3x + 2

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Question 69439This question is from textbook Elementary Algebra
: Please and thank you for the help. I am missing something and can't figure out what I've done wrong.
1. 2/3 + 4t = 6t - 2/15
2. 0.76 + 0.21t = 0.96t - 0.49
3. 1/3x + 2/5 = 4/15 + 3/5x - 2/3
Thank you!
This question is from textbook Elementary Algebra

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
1. 2/3 + 4t = 6t - 2/15
Multiply thru by the lcm (least common multiple) to get rid of the fractions:
The lcm is 15.
10 +60t = 90t - 2
Add 2 to both sides; Subtract 60t from both sides.
30t=12
t=2/5
--------------------
2. 0.76 + 0.21t = 0.96t - 0.49
Multiply thru by 100 to get rid of the decimals.
76 + 21t = 96t - 49
Add 49 to both sides: Subtract 21t from both sides.
125=75t
t=5/3
----------------
3. 1/3x + 2/5 = 4/15 + 3/5x - 2/3
It's not possible to tell if your x's are in the numerator or denominator.
I will assume you mean the following:
(1/3)x + (2/5) = (4/15) + (3/5)x - (2/3)
Multiply thru by 15 to get:
5x+6 = 4 +9x - 10
4x=-8
x=-2
------------
Cheers,
Stan H.

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