Answer:
There is infinitely many solution of the form [tex](x, \frac{x-4}{2} )[/tex]
Step-by-step explanation:
Given: [tex]2x - 4y = 8\\\\3x - 6y = 12[/tex]
[tex]2x - 4y = 8[/tex] ... (1st equation)
[tex]3x - 6y =12[/tex] ... (2nd equation)
Dividing 1st equation by 2
[tex]x - 2y = 4[/tex]
Dividing 2nd equation by 3
[tex]x - 2y = 4[/tex]
These are same equation! And since they're the same equation, they'll both have exactly the same line on a graph. In other words, they'll overlap completely.
∴ There are infinitely many solutions of the form [tex](x,\frac{x-4}{2})[/tex]
