Answer:
B) consistent, dependent
Step-by-step explanation:
The given system is
45x - 30y = -90
-12x + 8y = 24
Let us make y the subject in both equations to get:
Top equation
[tex]y = \frac{3}{2}y + 3[/tex]
Bottom equation
[tex]y = \frac{3}{2}x + 3[/tex]
We can see that both equations are identically the same.
There is going to be infinitely many solutions.
We say the system is consistent and dependent.
The correct choice is B
