1. **State the problem:** Given the system of equations: $$Y + 2XY = 43$$ $$2Y = 1Y$$ We need to find the value of $X$. 2. **Analyze the second equation:** $$2Y = 1Y$$ Simplify the right side: $$2Y = Y$$ This implies that: $$2Y - Y = 0$$ $$Y = 0$$ 3. **Substitute $Y = 0$ into the first equation:** $$Y + 2XY = 43$$ $$0 + 2X \cdot 0 = 43$$ $$0 = 43$$ This is a contradiction, meaning there is no possible value of $X$ that satisfies the system. **Final answer:** There is no solution for $X$ because the system is inconsistent.