Answer:
The equation for the value of OU is;
[tex]OU=11x-6[/tex]Explanation:
Given that S is the midpoint of segment OU.
Then;
[tex]OU=OS+SU[/tex]Given in the question;
[tex]\begin{gathered} OS=7x-9 \\ SU=4x+3 \end{gathered}[/tex]Substituting the values of OS and SU to get OU;
[tex]\begin{gathered} OU=OS+SU \\ OU=7x-9+4x+3 \\ OU=7x+4x-9+3 \\ OU=11x-6 \end{gathered}[/tex]Therefore, the equation for the value of OU is;
[tex]OU=11x-6[/tex]