Solve for x to determine if the equation has one, none, or infinite solutions.

Question

11x=3(7x−1)−10x (1 point)
Responses

The equation has infinite solutions.
The equation has infinite solutions.

The equation has one solution: x=−3.
The equation has one solution: x equals negative 3 .

The equation has no solution.
The equation has no solution.

The equation has one solution: x=−1.

Answer 1

To solve the equation 11x = 3(7x - 1) - 10x, we first simplify the right side:

11x = 21x - 3 - 10x
11x = 11x - 3

Next, we subtract 11x from both sides:

0 = -3

This equation is a contradiction, as there is no value of x that will make 0 equal to -3. Therefore, the equation has no solution.

So, the correct response is: The equation has no solution.