Question

Classify the following system of equations.

45x - 30y = -90
-12x + 8y = 24

Question 14 options:

A)

consistent, independent


B)

consistent, dependent


C)

inconsistent


D)

none of these

Answer 1

B) consistent, dependent

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 = (3)/(2)y + 3`

Bottom equation

`y = (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