Solve for x to determine if the equation has one, none, or infinite solutions.

11x = 3 ( 7x − 1 ) − 10x

1. The equation has infinite solutions.

2. The equation has one solution: x=−3.

3. The equation has no solution.

4. The equation has one solution: x=−1.

1 answer

Expanding the right side of the equation, we get:

11x = 21x - 3 - 10x

Simplifying further, we get:

11x = 11x - 3

Adding 3 to both sides, we get:

11x + 3 = 11x

Subtracting 11x from both sides, we get:

3 = 0

This is a contradiction, since 3 cannot equal 0. Therefore, the equation has no solution, answer is 3.