x = 3.02 and y = 6.33
Here, we want to solve both equations simultaneously
We proceed as follows;
[tex]\begin{gathered} x\text{ + y = 9.35} \\ 5x-y\text{ = 8.75} \\ \\ \text{Add both equations;} \\ \\ (x\text{ + 5x) + (y-y) = (9.35 + 8.75)} \\ \\ 6x\text{ = 18.1} \\ \\ x\text{ = }\frac{18.1}{6} \\ \\ x\text{ = 3.02} \end{gathered}[/tex]From the first equation, we can rewrite for y as;
[tex]\begin{gathered} y\text{ = 9.35 - x} \\ \\ \text{Substitute the value of x from above} \\ \\ y\text{ = 9.35 - 3.02} \\ \\ y\text{ = 6.33} \end{gathered}[/tex]