document.write( "Question 1206208: Given the following equality:
\n" ); document.write( "g(x) + g(x + 3) = 2x + 5\r
\n" ); document.write( "\n" ); document.write( "And:\r
\n" ); document.write( "\n" ); document.write( "g(2) + g(8) = 12\r
\n" ); document.write( "\n" ); document.write( "Find:
\n" ); document.write( "g(5)\r
\n" ); document.write( "\n" ); document.write( "Thanks \n" ); document.write( "

Algebra.Com's Answer #843487 by ikleyn(52793) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Given the following equality:
\n" ); document.write( "g(x) + g(x + 3) = 2x + 5
\n" ); document.write( "And:
\n" ); document.write( "g(2) + g(8) = 12
\n" ); document.write( "Find g(5).
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Take x= 2. Then from the formula g(x) + g(x + 3) = 2x + 5 you have\r\n" );
document.write( "\r\n" );
document.write( "    g(2) + g(5) =  9.    (1)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Take x= 5. Then from the formula g(x) + g(x + 3) = 2x + 5 you have\r\n" );
document.write( "\r\n" );
document.write( "    g(5) + g(8) = 15.    (2)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Add equations (1) and (2).  You will get\r\n" );
document.write( "\r\n" );
document.write( "    g(2) + 2*g(5) + g(8) = 24.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Replace here g(2) + g(8) by 12 (since it is given in the problem).  You will get\r\n" );
document.write( "\r\n" );
document.write( "    12 + 2*g(5) = 24  --->  2*g(5) = 24-12 = 12  --->  g(5) = 12/2 = 6.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  g(5) = 6.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );