Question

Classify the following system of equations.

Answer 1

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

$y = \frac{3}{2}y + 3$

Bottom equation

$y = \frac{3}{2}x + 3$

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