Question

complete the equation so it has infinitely many solutions. 4n + ? = 3 + 4n 0 4 3 9

Explanation:

Step1: Recall infinite solutions condition

An equation \(ax + b = cx + d\) has infinitely many solutions when \(a = c\) and \(b = d\). Here, the equation is \(4n + \underline{?} = 5 + 4n\).

Step2: Compare coefficients and constants

For the left - hand side \(4n + k\) and right - hand side \(4n+5\), we need \(k = 5\) to satisfy \(a = c\) (where \(a = c = 4\)) and \(b = d\) (where \(b = k\) and \(d = 5\)).

Answer:

\(5\)