Final answer:
The equation 3x = ax + b will have infinitely many solutions when the coefficients of x on both sides of the equation are equal. In other words, the values of a and b should be such that 3 = a and 0 = b.
Step-by-step explanation:
The equation 3x = ax + b will have infinitely many solutions when the coefficients of x on both sides of the equation are equal. In other words, the values of a and b should be such that 3 = a and 0 = b. This is because if a = 3, the equation becomes 3x = 3x + b, which means that no matter what value of x you choose, both sides of the equation will be equal. Additionally, if b = 0, the equation becomes 3x = ax, which also implies that both sides of the equation are equal for any value of x.