Question

How do you solve the system 6x + 2y = 10 and -6x - 2y = 12?

Answer 1

No solution. The lines are parallel

Explanation:

If we transform both equations into their slope-intercept form, we have

`[1] 6x + 2y = 10`

`[1] => y = -3x + 5`

`[2] -6x - 2y = 12`
`[2] => y = -3x - 6`

Both lines have the same slope but with different `y`-intercept.
The lines are parallel and will never intersect