Answer:
The given system of equations has no solution
Step-by-step explanation:
Given the pair of equations:
![\begin{gathered} y=(1)/(2x)+1\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots(1) \\ \\ y=(1)/(2x)-2\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots(2) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/6y3jgav1kmh7racmytzo13qdi9yw2abk0a.png)
From equations (1) and (2), we can write:
![(1)/(2x)+1=(1)/(2x)-2](https://img.qammunity.org/2023/formulas/mathematics/high-school/5mb1ni3bt6b00ubkx7v1ujz9b5nc21iw3k.png)
Subtrac 1/2x from both sides, we are left with no variable x, therefore, the system has no solution