Question

Given the rational equation 3x – 4/3 = 2x +
-
2/3, what is the value of x?

Answer 1

To solve the rational equation, multiply every term by the LCM of the denominators, simplify the equation, and isolate the variable x. The value of x is 2/3.

Step-by-step explanation:

To solve the rational equation 3x - (4/3) = 2x - (2/3), we need to eliminate the denominators by multiplying every term by the least common multiple (LCM) of the denominators.

Since the LCM of 3 and 3 is 3, we multiply each term by 3:

1. 3(3x) - 3(4/3) = 3(2x) - 3(2/3)
2. 9x - 4 = 6x - 2

Next, we simplify the equation and isolate the variable x:

1. 9x - 6x = 4 - 2
2. 3x = 2
3. x = 2/3

Therefore, the value of x is 2/3.

Learn more about Solving rational equations