document.write( "Question 1039897: A (0,16), B(8,0) C(0,6) D(18,0)\r
\n" ); document.write( "\n" ); document.write( "Point M is the point of intersection between line AB and line CD. Find M.
\n" ); document.write( "

Algebra.Com's Answer #654650 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
A (0,16), B(8,0) C(0,6) D(18,0)
\n" ); document.write( "Point M is the point of intersection between line AB and line CD. Find M.
\n" ); document.write( "---
\n" ); document.write( "Line AB:: y/16 + x/8 = 1
\n" ); document.write( "Line CD:: y/6 + x/18 = 1
\n" ); document.write( "----------------------------------
\n" ); document.write( "Rearrange:
\n" ); document.write( "y = -2x + 16
\n" ); document.write( "y = -x/3 + 6
\n" ); document.write( "------
\n" ); document.write( "Substitute and solve for \"x\"::
\n" ); document.write( "-2x+16 = -x/3 + 6
\n" ); document.write( "--------
\n" ); document.write( "-6x + 48 = -x + 18
\n" ); document.write( "5x = 30
\n" ); document.write( "x = 6
\n" ); document.write( "----
\n" ); document.write( "Solve for \"y\"::
\n" ); document.write( "y = -2x + 16
\n" ); document.write( "y = -2(6) + 16
\n" ); document.write( "y = 4
\n" ); document.write( "-------------
\n" ); document.write( "Ans:: (6,4)
\n" ); document.write( "-------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "------------
\n" ); document.write( "
\n" );