Question

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 infinite solutions.

The equation has one solution: x=−1.

The equation has no solution.

Answer 1

To solve for x in the equation 11x = 3(7x - 1) - 10x, we can simplify both sides first:

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

Now, subtract 11x from both sides:

0 = -3

This implies that 0 does not equal -3, so there are no solutions for x in this equation.

Therefore, the equation has no solution.