Question

1. \\(\

$$\begin{cases}9x - 3y = 9 \\\\ 3x - y = 3\\end{cases}$$

\\)

Explanation:

Step1: Simplify first equation

Divide equation 1 by 3:
$$\frac{9x - 3y}{3} = \frac{9}{3}$$
$$3x - y = 3$$

Step2: Compare with second equation

The simplified first equation is identical to the second given equation $3x - y = 3$. This means the two equations represent the same line.

Answer:

The system has infinitely many solutions, where all points satisfy $3x - y = 3$ (or $y = 3x - 3$ for any real value of $x$).