1. Set the two equations equal to each other since they both represent \( Y \):
2x + 1 = 2x + 9
2. Subtract \( 2x \) from both sides:
1 = 9
3. The above statement is a contradiction, meaning no value of \( x \) satisfies it.
4. Since \( 2x + 1 \) and \( 2x + 9 \) are equations of lines with the same slope but different y-intercepts, these lines are parallel and do not intersect.
5. Therefore, there are no solutions to the system.