Question

find the missing number so that the equation has infinitely many solutions.
□x + 1 = 4x + 1

Explanation:

Step1: Recall the condition for infinitely many solutions

For a linear equation of the form \(ax + b = cx + d\) to have infinitely many solutions, the coefficients of \(x\) must be equal and the constant terms must be equal, i.e., \(a = c\) and \(b = d\).

Step2: Apply the condition to the given equation

In the equation \(\square x+1 = 4x + 1\), the constant terms are already equal (both are 1). For the equation to have infinitely many solutions, the coefficient of \(x\) on the left - hand side (\(\square\)) must be equal to the coefficient of \(x\) on the right - hand side (4).

Answer:

4