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 for x in the equation 11x = 3(7x - 1) - 10x, we first distribute on the right side:

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

Now, we subtract 11x from both sides:

0 = -3

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

So, the answer is: The equation has no solution.