Question

Kate begins solving the equation 2/3(6x – 3) =1/2 (6x – 4). Her work is correct and is shown below. 2/3(6x – 3) = 1/2(6x – 4) 4x – 2 = 3x – 2 When she adds 2 to both sides, the equation 4x = 3x results. Which is the best interpretation of this equation? The equation has infinite solutions. The equation has one solution: x = 0. The equation has one solution: x = 4/3. The equation has no solution.

Answer 1

The answer is: The equation has a solution: x = 0.

Explanation:

After performing all operations and remaining as a result: 4x - 2 = 3x - 2; 4x - 3x = -2 + 2; x = 0, would be the final result of the operations.

The answer is: The equation has a solution: x = 0.

Answer 2

the equation 4x = 3x ------> 4x-3x=0

x=0
the best interpretation of this equation
is the equation has one solution: x = 0