Question

How do you solve `x-4y=-8` and `-3x+12y=24`?

Answer 1

There is no unique solution for the given equation(s)

Explanation:

[1]`color(white)("XXXX")` `x-4y=-8`
and
[2]`color(white)("XXXX")` `-3x+12y=24`

are actually the same equation
`color(white)("XXXX")` `color(white)("XXXX")`([1} multiplied by `(-3)` is the same as [2])

They are not 2 intersecting equations.

Answer 2

You have `oo` solutions.

Explanation:

The second equation is equal to the first one multiplied by `-3`; so basically you have two equations representing two coincident lines (technically one on top of the other) so your system has `oo` solutions corresponding to the `oo` number of common points between the two lines!