To solve the given expression [tex]\(5x + 25y + 2\)[/tex] using algebraic steps, follow these instructions:
1. Identify the Variables and Constants:
The expression involves two variables [tex]\(x\)[/tex] and [tex]\(y\)[/tex], and constants 5, 25, and 2.
2. Break Down the Expression:
The expression is composed of three terms:
- The first term is [tex]\(5x\)[/tex], which means 5 multiplied by the variable [tex]\(x\)[/tex].
- The second term is [tex]\(25y\)[/tex], which means 25 multiplied by the variable [tex]\(y\)[/tex].
- The third term is the constant 2.
3. Summarize the Expression:
The expression can be interpreted as a linear combination of [tex]\(x\)[/tex] and [tex]\(y\)[/tex] with their respective coefficients, plus a constant term. Specifically:
- [tex]\(5x\)[/tex]: Represents 5 times the value of [tex]\(x\)[/tex].
- [tex]\(25y\)[/tex]: Represents 25 times the value of [tex]\(y\)[/tex].
- [tex]\(+2\)[/tex]: Represents a constant that is added to the value of the expression.
4. General Form:
The expression [tex]\(5x + 25y + 2\)[/tex] is a linear expression in two variables, [tex]\(x\)[/tex] and [tex]\(y\)[/tex], with coefficients 5 and 25, respectively, and an added constant of 2.
Thus, we have the complete algebraic representation of [tex]\(5x + 25y + 2\)[/tex]. This is the linear mathematical expression that combines [tex]\(x\)[/tex] and [tex]\(y\)[/tex] with the specified coefficients and includes an additional constant term.
