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 no solution.
The equation has no solution.

The equation has one solution: x=−1.
The equation has one solution: x equals negative 1 .

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

The equation has infinite solutions.

Answer 1

To solve the equation, we first distribute the 3 on the right side of the equation:

11x = 21x - 3 - 10x

Next, we combine the x terms on the right side:

11x = 11x - 3

Since the variable terms cancel out, we are left with:

0 = -3

This equation is not possible, as 0 cannot equal -3. Therefore, the equation has no solution.

The correct response is:

The equation has no solution.