Final answer:
To make the equation 12x + 24 = ax + b have no solution, a must be equal to 12 and b must be equal to 24.
Step-by-step explanation:
To make the equation 12x + 24 = ax + b have no solution, we need to make the coefficients of x on both sides equal. This means that a must be equal to 12. Additionally, in order to eliminate the x terms, the coefficients of x on both sides must also be equal, resulting in b = 24. Therefore, the possible values of a and b that make the equation have no solution are a = 12 and b = 24.