Question

How do you solve the system of linear equations `3x - 2y = 6` and `-6x + 4y = -12`?

Answer 1

There is no (single) solution

Explanation:

The second equation: `-6x+4y=-12`
is simply the first equation: `3x-2y=6`
multiplied by `(-2)`.

Both form represent the same line (if you think about it in terms of graphs).

The infinite collection of points `(x,y)` which are of the form `(x, (3x+6)/2)` (for all values of `x`) is the solution set.