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The required solution of the equation is (2,5). The correct option is A. (2,5).

Given equations,

[tex]y=x+3.....(1)\\2x+y=9......(2)[/tex]

How to solve a system of equations?

putting the value of y from eq. 1 in eq. 2 we get,

[tex]2x+x+3=9\\3x=9-3\\3x=6\\x=2[/tex]

putting the value of x=2 in eq. 1 we get,

[tex]y=2+3\\y=5[/tex]

Hence, the required solution of the equation is (2,5).

For more details on solving the equation follow the link:

https://brainly.com/question/11897796