Question

What best describes the relationship between the lines with equations `y+ 6 = -x` and `y+x = -6` ?

Answer 1

The two equations represent the same line, or a system with infinitely many solutions.

Explanation:

Using inverse operations, we can transform the first equation into the second.

`y + 6 = -x`
`y + x + 6 = -x + x`
`y + x + 6 = 0`
`y + x + 6 - 6 = 0 - 6`
`y + x = -6`

Therefore, the two equations represent the same line, or a system with infinitely many solutions.