Question

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

Answer 1

No solution

Explanation:

`color(white)(-)x-2y=4`

`color(white)(-)3x-6y=4`

Let's use elimination. To do that, we need to multiply the first equation by `3`

`color(white)(-)3x-6y=12`
`-`
`color(white)(-)3x-6y=4`
`-------`
`color(white)(. . .) 0x color(black)(+) 0y = 8`

hmmmm... that's strange. This could be a mistake, or this might not have a possible solution. To check, let's graph this.

Ahh, these graphs are parallel to each other. That means they have no intercepts; they never cross

So, there are no solutions