Y=-x-6 Y=-x+6 State the number of solutions. Explain reason

1. We have two equations:
Y = -x - 6
Y = -x + 6

2. Set the equations equal to each other to solve for $x$:
-x - 6 = -x + 6

3. Simplify the equation:
-6 = 6

4. The above statement is false, indicating the lines are parallel and never intersect. Thus, there are no solutions.

5. Final answer:
\text{No solutions.}