Solve for a to determine if the equation has one, none, or infinite solutions.
11x = 3 (7x - 1) - 10х (1 point)
• The equation has one solution: 2 = -1
O The equation has infinite solutions.
• The equation has one solution: a = - 3
• The equation has no solution.
To determine if the equation has one, none, or infinite solutions, we first need to simplify the equation:
11x = 3(7x - 1) - 10x
11x = 21x - 3 - 10x
11x = 11x - 3
Now, we can see that the equation simplifies to 0 = -3, which is not a true statement. Therefore, the equation has no solution.
So, the correct answer is:
• The equation has no solution.