$$\\begin{cases} -6y = \\frac{3}{2}(2 - 6x) \\\\ -6y = -9x + 3 \\end{cases}$$

Explanation:

Step1: Simplify the first equation

$$ -6y = \frac{3}{2}(2 - 6x) $$ $$ -6y = 3 - 9x $$

Step2: Compare with the second equation

$$ -6y = -9x + 3 $$

Step3: Analyze the relationship

Both equations simplify to the same linear expression: $$ -6y = -9x + 3 $$

Step4: Determine the number of solutions

Since the equations are identical, they represent the same line.

Answer:

Infinitely many solutions