Question 1206208
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Given the following equality:
g(x) + g(x + 3) = 2x + 5
And:
g(2) + g(8) = 12
Find g(5).
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<pre>
Take x= 2. Then from the formula g(x) + g(x + 3) = 2x + 5 you have

    g(2) + g(5) =  9.    (1)


Take x= 5. Then from the formula g(x) + g(x + 3) = 2x + 5 you have

    g(5) + g(8) = 15.    (2)


Add equations (1) and (2).  You will get

    g(2) + 2*g(5) + g(8) = 24.


Replace here g(2) + g(8) by 12 (since it is given in the problem).  You will get

    12 + 2*g(5) = 24  --->  2*g(5) = 24-12 = 12  --->  g(5) = 12/2 = 6.


<U>ANSWER</U>.  g(5) = 6.
</pre>

Solved.