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

11x = 3(7x ー 1)- 10x(1point)
• The equation has infinite solutions.
• The equation has one solution: x = -1
• The equation has no solution.
• The equation has one solution: x = -3

1 answer

To solve the equation, first distribute on the right side:

11x = 21x - 3 - 10x
11x = 11x - 3

Subtracting 11x from both sides gives:

0 = -3

This equation is not true, so there are no solutions to the equation. Therefore, the correct answer is:

• The equation has no solution.