document.write( "Question 1121592: Point B is between A and C on line AC. Using the information provided, find the values of x, AB, and BC.\r
\n" ); document.write( "\n" ); document.write( "AC= 8x-16 AB=3x-8 BC=4x \n" ); document.write( "

Algebra.Com's Answer #737532 by ikleyn(52790) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "AB + BC = AC    since the point  C  is between A and C on the segment AC.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It means that\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(3x-8) + 4x = 8x - 16.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Simplify and solve it for x.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "3x - 8 + 4x = 8x - 16\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "7x - 8 = 8x - 16\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "16 - 8 = 8x - 7x\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "8 = x.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Thus x= 8,  AC = 8x-16 = 8*8 - 16 = 84-16 = 48;  AB = 3x-8 = 3*8-8 = 16;  BC = 4*x = 4*8 = 32.\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" );