We have a system of two equations:
![\begin{gathered} 2x-y=15, \\ -2x+5y=3. \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/sg7sk7occvoec619gudxvbcs9bg2s8d0nn.png)
We want to reduce the system to an equation with only variables, we see that by adding the equations we can achieve that. This is because the terms with x cancel each other:
![\begin{gathered} (2x-y)+(-2x+5y)=15+3, \\ 4y=18. \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/450ezwpeacgzciqvduipztoie9953mj4rc.png)
Answer
i) Variable x is ready to be eliminated.
ii) Adition is required to eliminate the variable.
Reason: by adding the equations we see that variable x is eliminated:
![\begin{gathered} (2x-y)+(-2x+5y)=15+3, \\ 4y=18. \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/450ezwpeacgzciqvduipztoie9953mj4rc.png)