document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=740975>Question 740975</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 19. Consider two ships, one on a course described by the equation 0.6x + 0.3y = 2.1 and the other on a course described by the equation –0.3x + 0.1y = –1.8. Which of the following sentences best describes the possibility of a collision?<BR>\n" );
document.write( "A. There will certainty be a collision at the point (6, 0).<BR>\n" );
document.write( "B. There is a possibility of a collision at the point (0, 7) but a collision is not a certainty. C. There is no possibility for a collision.<BR>\n" );
document.write( "D. There is a possibility of a collision at the point (5, –3) but a collision is not a certainty. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #451811 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=451811\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 19. Consider two ships, one on a course described by the equation 0.6x + 0.3y = 2.1 and the other on a course described by the equation –0.3x + 0.1y = –1.8. Which of the following sentences best describes the possibility of a collision?<BR>\n" );
document.write( "A. There will certainty be a collision at the point (6, 0).<BR>\n" );
document.write( "B. There is a possibility of a collision at the point (0, 7) but a collision is not a certainty. C. There is no possibility for a collision.<BR>\n" );
document.write( "D. There is a possibility of a collision at the point (5, –3) but a collision is not a certainty.<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Find the intersection of the lines of the equations, if any.<BR>\n" );
document.write( "0.6x + 0.3y = 2.1  x10/3 --> 2x + y = 7<BR>\n" );
document.write( "–0.3x + 0.1y = –1.8 x10 --> -3x + y = -18<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "2x + y = 7<BR>\n" );
document.write( "-3x +y = -18<BR>\n" );
document.write( "--------------- Subtract<BR>\n" );
document.write( "5x = 25<BR>\n" );
document.write( "x = 5<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "y = -3<BR>\n" );
document.write( "--> intersection at (5,-3)<BR>\n" );
document.write( "Both ships would cross the point (5,-3) but not necessarily at the same time.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );