Answer:
No solutions: 3x + 1 = 3x + b, where b ≠ 1
Infinite solutions: 2x - 4 = 2x - 4
Step-by-step explanation:
For an equation to have <em>no </em>solutions, it has to reduce to an equation that's never true. For our given equation, this means we'll need to fill in the blank with some value other than 1. If we pick 2, for instance, we'll get the equation 3x + 1 = 3x + 2, which reduces to 1 = 2, a false statement. No value of x will make the equation true.
To have <em>infinite </em>solutions, on the other hand, we need an equation that is <em>always</em> true. Filling in the blank with 4 here will give us one: 2x - 4 = 2x - 4 reduces to -4 = -4, a statement that is always true.
