Classify as True or False, Assuming That A, B, C $\mathrm { d } \neq 0$

True/False

Classify as true or false, assuming that a, b, c, and d are whole numbers an $\mathrm { d } \neq 0$
- $$\text { If } \mathrm { d } \mid \mathrm { a } \text { and } \mathrm { d } \mid \mathrm { b } \text {, then } \mathrm { d } \mid ( \mathrm { ax } + \mathrm { by } ) \text { for any whole numbers } x \text { and } y \text {. }$$