clara92
clara92 clara92
  • 11-07-2020
  • Mathematics
contestada

Is the following system of equations dependent or independent?

3x + 6y = 12

x + 2y = 4

Respuesta :

mathmate
mathmate mathmate
  • 11-07-2020

Answer:

The system of equations is not independent (i.e. dependent)

Step-by-step explanation:

We see that in the system of equations

3x + 6y = 12  ............(1)

x + 2y = 4.................(2)

equation (1) is exactly the same as 3 times of equation (2).

When graphed, both lines will coincide.

Therefore the system of equations is not independent (i.e. dependent)

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