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.
To solve the equation:
11x = 3(7x - 1) - 10x
11x = 21x - 3 - 10x
11x = 11x - 3
0 = -3
This leads to a contradiction, as 0 cannot equal -3. Therefore, the equation has no solution.
The correct response is: The equation has no solution.