Question

Is the following system of equations dependent or independent?

3x + 6y = 12

x + 2y = 4

Answer 1

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

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)