Answer:
The system has infinite solutions
Step-by-step explanation:
For a system of two linear equations it is always true that if one equation is a linear combination of another, then the system will have infinite solutions.
Suppose we have the following system:
[tex]ax + by = c\\dx + hy = f[/tex]
If there is a number n for which it is fulfilled that
[tex]<a, b, c> = n * <d, h, f>[/tex]
Then the system has infinite solutions.
In this case the system is:
[tex]x + 2y=10\\3x+6y =30[/tex]
Observe that:
[tex]<1, 2, 10> = \frac{1}{3}* <3, 6, 30>[/tex]
Then [tex]n =\frac{1}{3}[/tex]
The system has infinite solutions
