Solve for x to determine if the equation has one, none, or infinite solutions.%0D%0A11x=3(7x−1)−10x(1 point)%0D%0AResponses%0D%0A%0D%0AThe equation has one solution: x=−1.%0D%0AThe equation has one solution: x equals negative 1 .%0D%0A%0D%0AThe equation has infinite solutions.%0D%0AThe equation has infinite solutions.%0D%0A%0D%0AThe equation has no solution.%0D%0AThe equation has no solution.%0D%0A%0D%0AThe equation has one solution: x=−3.

Answer 1

To solve for x, we will first distribute on the right side of the equation:

11x = 21x - 3 - 10x

Combine like terms:

11x = 11x - 3

Subtract 11x from both sides:

0 = -3

Since the equation simplifies to 0 = -3 which is a false statement, there is no solution. Therefore, the correct answer is:

The equation has no solution.