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 for x, we first distribute on the right side of the equation:
11x = 21x - 3 - 10x
Combining like terms:
11x = 11x - 3
Subtracting 11x from both sides:
0 = -3
Since 0 is not equal to -3, the equation has no solution.
Therefore, the correct response is: The equation has no solution.