Answer:
The given system of equations has no solution
Explanation:
Given the pair of equations:
[tex]\begin{gathered} y=\frac{1}{2x}+1\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots(1) \\ \\ y=\frac{1}{2x}-2\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots(2) \end{gathered}[/tex]From equations (1) and (2), we can write:
[tex]\frac{1}{2x}+1=\frac{1}{2x}-2[/tex]Subtrac 1/2x from both sides, we are left with no variable x, therefore, the system has no solution