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

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

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

The equation has no solution.

Answer 1

11x=3(7x−1)−10x

Simplifying the equation:

11x = 21x - 3 - 10x

Combining like terms:

11x = 11x - 3

Subtracting 11x from both sides:

0 = -3

Since 0 is not equal to -3, the equation has no solution.