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=−1.
The equation has one solution: x equals negative 1 .
The equation has no solution.
The equation has no solution.
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 3 to 7x and -1:
11x = 21x - 3 - 10x
Combine like terms:
11x = 11x - 3
Subtract 11x from both sides:
0 = -3
This equation is not true, so there is no solution.
Therefore, the correct response is: The equation has no solution.