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) ![]() 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( " |