document.write( "Question 906100: I need help with AB = 4x+9 BC= 5x+2 AC = 56 solve for x \n" ); document.write( "
Algebra.Com's Answer #549630 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Assuming A, B and C are all on the same line with B between A and C, we can say\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "AB + BC = AC\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4x+9 + 5x+2 = 56\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "9x + 11 = 56\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "9x = 56 - 11\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "9x = 45\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 45/9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Extra Info: We can use x = 5 to find AB and BC\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "AB = 4x+9 \n" ); document.write( "AB = 4(5)+9 \n" ); document.write( "AB = 20+9 \n" ); document.write( "AB = 29\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "BC = 5x+2 \n" ); document.write( "BC = 5(5)+2 \n" ); document.write( "BC = 25+2 \n" ); document.write( "BC = 27\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Notice how AB = 29 and BC = 27 add to AC = 56 (AB+BC = 29+27 = 56 = AC). That confirms our answer. \n" ); document.write( " |