Given that
There are two equations and we have to solve them for the value of x.
Equations are
x + y = 9 and x - y = 2
Explanation -
First, we will substitute the value of y in eq (ii) from eq (i) and then solve for x.
So then,
[tex]\begin{gathered} x+y=9--------(i) \\ y=9-x \\ x-y=2-------(ii) \\ Substituting\text{ y in eq\lparen ii\rparen} \\ x-(9-x)=2 \\ x-9+x=2 \\ 2x=2+9 \\ 2x=11 \\ x=\frac{11}{2} \\ x=5.5 \end{gathered}[/tex]So option A is correct.
Hence the final answer is 5.5