Question

1. samantha says that $5x$ and $5y$ are like terms. is she correct? explain.

Explanation:

Like terms are terms that have identical variables (and the same exponents on those variables). The term $5x$ has the variable $x$, while $5y$ has the variable $y$—these are different variables, so they cannot be combined as like terms.

Answer:

No, Samantha is not correct. $5x$ and $5y$ have different variables ($x$ vs. $y$), so they are not like terms.