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

Answer 1

To solve for x, we first distribute on the right side of 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.

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