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

The equation has no solution.

Answer 1

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

11x = 21x - 3 - 10x

Combine like terms:

11x = 11x - 3

Subtract 11x from both sides:

0 = -3

Since this equation is false (-3 does not equal 0), there is no solution to this equation. The correct response is:

The equation has no solution.