Solve for x to determine if the equation has one, none, or infinite solutions.
11x=3(7x−1)−10x
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 infinite solutions.
The equation has infinite solutions.
The equation has one solution: x=−1.
To solve this equation, we can start by simplifying both sides:
11x = 3(7x - 1) - 10x
We can distribute the 3 on the right side:
11x = 21x - 3 - 10x
Next, we can combine like terms:
11x = 11x - 3
Now, we can subtract 11x from both sides:
0 = -3
Since -3 is not equal to 0, this equation has no solution.