Question

find the missing number so that the equation has infinitely many solutions. 3x + \square = 3x + 3

Explanation:

Step1: Recall infinite solutions condition

For an equation \(ax + b = ax + c\) to have infinitely many solutions, \(b = c\) (since subtracting \(ax\) from both sides gives \(b = c\), which is always true, so any \(x\) works).

Step2: Apply to given equation

Given \(3x+\square = 3x + 3\), comparing with \(ax + b = ax + c\), here \(a = 3\), \(c = 3\). So \(b\) (the missing number) must equal \(c\), i.e., \(3\).

Answer:

\(3\)