Kate begins solving the equation (6x - 3) = (6x - 4). Her work is correct and is shown below. (6x - 3) = (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 = (3/4)

The equation has no solution.

Question

Mathematics

Lawson Matthews

13 June, 14:00

Kate begins solving the equation (6x - 3) = (6x - 4). Her work is correct and is shown below. (6x - 3) = (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 = (3/4)

The equation has no solution.

+3

Answers (1)

Know the Answer?

Luz Bryant · Answer 1

6x - 3 = 6x - 4

4x - 2 = 3x - 2 * this is not possible*

4x = 3x

The method shown has an error in it, as indicated. The equation has no solutions. If both the equation represented straight lines, they would be parallel lines. Therefore, there is no solution.