Find the value of x in x + y = 9 and x - y = 2.

We are given the following equations:
[tex]\begin{gathered} x+y=9,(1) \\ x-y=2,(2) \end{gathered}[/tex]To determine the value of "x" we will add both equations. This way we will be able to cancel out the "y" variable:
[tex]x+y+x-y=9+2[/tex]Adding like terms:
[tex]2x=11[/tex]Now, we divide both sides by 2:
[tex]x=\frac{11}{2}[/tex]Solving the operations:
[tex]x=5.5[/tex]Therefore, the value of "x" is 5.5