of each equation algebraic 2. $$ y=x-7 $$

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**2. $$ y = x - 7 $$**

**Classification:** *Algebraic Equation*

**Explanation:**
An **algebraic equation** is any equation that involves only algebraic expressions, which include polynomials and their operations (addition, subtraction, multiplication, division, and non-negative integer exponents).

The equation $$ y = x - 7 $$ is a **linear equation**, which is a specific type of algebraic equation. Here's why:

- **Degree:** The highest power of the variable $$ x $$ is 1, making it a first-degree polynomial.
- **Form:** It follows the standard linear form $$ y = mx + b $$, where $$ m $$ and $$ b $$ are constants.
- **Operations:** It involves only addition and subtraction of algebraic terms.

Since it satisfies all the conditions of an algebraic equation by involving a linear (polynomial of degree one) relationship between $$ x $$ and $$ y $$, $$ y = x - 7 $$ is indeed an algebraic equation.
$$ y = x - 7 $$ is a linear algebraic equation.

of each equation algebraic
2.

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