finnwolfhardmillie
finnwolfhardmillie finnwolfhardmillie
  • 23-10-2019
  • Mathematics
contestada

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

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 24-10-2019

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

Answer Link

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