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 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.
The equation has infinite solutions.
The equation has one solution: x=−3.
To solve the equation 11x = 3(7x - 1) - 10x, first distribute the 3 on the right side:
11x = 21x - 3 - 10x
Combine like terms:
11x = 11x - 3
Subtracting 11x from both sides gives:
0 = -3
This equation is not true, so the statement "0 = -3" represents a contradiction. Therefore, the equation has no solution.