Solve for [tex]\( x \)[/tex].

[tex]\[ 3x = 6x - 2 \][/tex]

---

Rewrite the equation in standard form.

[tex]\[ x + 3y = 9 \][/tex]



Answer :

To solve the equation [tex]\(x + 3y = 9\)[/tex], we need to understand its structure and implications for values of [tex]\(x\)[/tex] and [tex]\(y\)[/tex].

1. Identify the Coefficients and Constant Term:
- The coefficient of [tex]\(x\)[/tex] is 1.
- The coefficient of [tex]\(y\)[/tex] is 3.
- The constant term is 9.

2. Represent the Equation as a Tuple:
- The coefficients of [tex]\(x\)[/tex] and [tex]\(y\)[/tex] together form a tuple [tex]\((1, 3)\)[/tex].
- The constant term 9 is represented separately.

Therefore, the equation [tex]\(x + 3y = 9\)[/tex] can be represented in a structured form as:
- A tuple [tex]\((1, 3)\)[/tex] representing the coefficients of [tex]\(x\)[/tex] and [tex]\(y\)[/tex] respectively.
- The constant term 9.

So, the detailed solution gives us:
[tex]\[ ((1, 3), 9) \][/tex]

This representation clearly shows the relationship between the coefficients and the constant term of the given linear equation.