Final answer:
An equation with infinite solutions occurs when any value of the variable makes the equation true. The given equation, 2 - x - 1 + 1, simplifies to 2 - x, showing that no matter what value we assign to 'x', the equation will always be true.
Step-by-step explanation:
An equation with infinite solutions occurs when the two sides of the equation are equivalent. In other words, any value of the variable in the equation will make the equation true. Let's simplify the given equation:
2 - x - 1 + 1
Combining like terms:
(2 - 1) + (-x + 1)
1 - x + 1
2 - x
Since the variable 'x' has been eliminated, we are left with a constant term, 2. This means that no matter what value we assign to 'x', the equation will always be true. Therefore, the equation 2 - x = 2 has infinite solutions.
Learn more about Infinite Solutions in Equations