How do I solve this problem? 3x-2/3x=4/3
3x-2/3x=4/3
7/3x = 4/3
x = (4/3) / (7/3)
x = (4/3) * (3/7)
x = 12/21 = 4/7
Thank you Ms.Sue, but could you please show me how you got 7/3x?
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
3x - 2/3x = 2 1/3x
2 1/3 = 7/3
Thanks Jake, but the ans. to this problem is x=4/7, so the set up is... 3x-2/3x-4/3.
Thank you so much Ms. Sue!
To solve the equation 3x - (2/3)x = 4/3, we need to isolate the variable x. Here's how you can do it step by step:
1. Start by combining like terms on the left-hand side of the equation.
3x - (2/3)x = 4/3
To combine 3x and -(2/3)x, you need a common denominator to subtract the fractions. The common denominator is 3, so you can rewrite the equation as:
(9/3)x - (2/3)x = 4/3
Simplifying, you get:
(7/3)x = 4/3
2. Next, we want to get rid of the coefficient (7/3) multiplying x. To do that, you'll need to divide both sides of the equation by (7/3).
(7/3)x / (7/3) = (4/3) / (7/3)
Simplifying, you get:
x = 4/3 * 3/7
Multiplying the fractions, you get:
x = (12/21)
3. Finally, simplify the fraction if possible.
x = 12/21
Since both 12 and 21 can be divided by 3, you can simplify the fraction further:
x = 4/7
So, the solution to the equation 3x - (2/3)x = 4/3 is x = 4/7.