document.write( "Question 638535: Suppose M is the midpoint of Line FG.
\n" );
document.write( "FM = 3x-4, MG = 5x-26, FG = ?
\n" );
document.write( "The answer is 58. How do you get that? \n" );
document.write( "
Algebra.Com's Answer #402256 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Hint:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since M is the midpoint of Line FG, we know that\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "FM + MG = FG\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "which means\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3x - 4 + 5x - 26 = FG\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-----------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "and we also know that FM = MG (since the midpoint cuts the line segment exactly in half)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3x - 4 = 5x - 26\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solve this for x. Once you find x, use it in the equation 3x - 4 + 5x - 26 = FG to find FG. \n" ); document.write( " |