document.write( "Question 449187: Find the coordinates of the point where the line with parametric equations:
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document.write( "x=1-t, y=3+t and z=3-2t meets the X0Y plane.
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document.write( "Thanks :) \n" );
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Algebra.Com's Answer #309055 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Find the coordinates of the point where the \r\n" ); document.write( "line with parametric equations: \r\n" ); document.write( "\r\n" ); document.write( "x=1-t, y=3+t and z=3-2t meets the X0Y plane.\r\n" ); document.write( "\r\n" ); document.write( "Thanks :)\r\n" ); document.write( "\r\n" ); document.write( "This is when z=0\r\n" ); document.write( "\r\n" ); document.write( "x=1-t, y=3+t and z=3-2t\r\n" ); document.write( "\r\n" ); document.write( "Substitute z = 0\r\n" ); document.write( "\r\n" ); document.write( " z=3-2t\r\n" ); document.write( " 0=3-2t\r\n" ); document.write( " 2t=3\r\n" ); document.write( " t=3/2\r\n" ); document.write( "\r\n" ); document.write( "Substitute t=3/2\r\n" ); document.write( "\r\n" ); document.write( "x=1-t, y=3+t and z=3-2t\r\n" ); document.write( "x=1-3/2, y=3+3/2, and z=3-2(3/2)\r\n" ); document.write( "x=2/2-3/2, y=6/2+3/2, and z=3-3\r\n" ); document.write( "x=-1/2, y=9/2, and z=0\r\n" ); document.write( "\r\n" ); document.write( "So the point where the\r\n" ); document.write( "line x=1-t, y=3+t and z=3-2t\r\n" ); document.write( "intersects the xy-plane is\r\n" ); document.write( "\r\n" ); document.write( "(-1/2, 9/2, 0)\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |