The expression given, 64x + 24x = 30, demonstrates the Commutative Property of Addition.
The Commutative Property states that the order in which two numbers are added does not change the sum. In this case, although the terms are organized as ’64x’ and ’24x’, they can be rearranged without affecting the result:
For instance, we can reorder the expression as follows:
- 24x + 64x = 30
This property highlights that whether you add ’64x’ first or ’24x’ first, the outcome remains constant. Thus, whether you’re working with simple numbers or algebraic terms, the commutative nature of addition assures us that the sum is reliable regardless of the order of terms.
Furthermore, in this expression, we can simplify it by combining like terms:
64x + 24x = (64 + 24)x = 88x
However, it’s important to note that the equality ’88x = 30′ only holds true for specific values of x. For example, if x represents a certain real number, say x = 30/88, we can find solutions that satisfy this equality. This enhances the understanding of real number properties and their interactions effectively.