Final answer:
The equation 9x−4=9x−4 has an infinite number of solutions because it simplifies to the true statement 0=0 for any value of x. The correct option is B.
Step-by-step explanation:
The equation 9x−4=9x−4 is true for all values of x. This means that the equation has an infinite number of solutions. To understand why, let's simplify the equation: when you move all terms involving x to one side and all constant terms to the other, you're left with 0=0, which is a true statement for any x.
Therefore, the solution to this equation is not unique nor conditional, and there's no scenario where the equation has no solution. Instead, because it holds regardless of the value of x, the correct answer is that the equation has infinite solutions, or that any value for x satisfies the equation.
Therefore, the solution to the equation 9x−4 = 9x−4 is best described as having infinite solutions due to the nature of its equality where both sides are identical, rendering any real number a valid solution.