Posted by **dina** on Saturday, April 6, 2013 at 12:16pm.

How do I solve this problem? 3x-2/3x=4/3

- algebra -
**Ms. Sue**, Saturday, April 6, 2013 at 12:22pm
3x-2/3x=4/3

7/3x = 4/3

x = (4/3) / (7/3)

x = (4/3) * (3/7)

x = 12/21 = 4/7

- algebra -
**dina**, Saturday, April 6, 2013 at 2:56pm
Thank you Ms.Sue, but could you please show me how you got 7/3x?

- algebra -
**Jake**, Saturday, April 6, 2013 at 3:23pm
I think this problem is really

(3x - 2) / 3x = 4 / 3

[cross multiply]

3(3x - 2) = 4 * 3x

9x - 6 = 12x

9x -6 + 6 = 12x +'6

9x = 12x + 6

9x - 12x = 12x + 6 - 12x

-3x = 6

x = -2

- algebra -
**Ms. Sue**, Saturday, April 6, 2013 at 3:46pm
3x - 2/3x = 2 1/3x

2 1/3 = 7/3

- algebra -
**dina**, Saturday, April 6, 2013 at 5:24pm
Thanks Jake, but the ans. to this problem is x=4/7, so the set up is... 3x-2/3x-4/3.

- algebra -
**dina**, Saturday, April 6, 2013 at 5:28pm
Thank you so much Ms. Sue!

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