Final answer:
Yes. The given system of equations has no solution.
Step-by-step explanation:
The given equations are Y = 5 - 3x and Y = -3x + 4.
These two equations both represent lines, and we can solve for their intersection point by setting them equal to each other:
5 - 3x = -3x + 4
By simplifying and combining like terms, we get:
5 = 4
Since this is a contradiction (5 cannot equal 4), there is no solution to the given system of equations.