Final answer:
A one-variable equation of the form ax = bx can have either infinite solutions or no solution, depending on whether a and b are equal or not.
Step-by-step explanation:
This is an equation with one variable, x. It is of the form ax = bx, where a and b are constants. To determine the number of solutions, we can simplify the equation by canceling out the x term on both sides. Since ax/ax = 1, and bx/bx = 1, we are left with a = b. If a and b are equal, the equation has infinite solutions because any value of x will make the equation true. If a and b are not equal, the equation has no solution because there is no value of x that will satisfy the equation.
Learn more about One-variable equations