document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=29941>Question 29941</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I have been assigneda rather large piece of homework that is mostly easy, however it does contain one question that is baffling me. I have asked about 5 other people about it before coming here, it is as follows.<BR>\n" );
document.write( "John takes a test. He ets 2 points for each right answer and loses 1 point for each one wrong. <BR>\n" );
document.write( "Write an equation that he did all 50 problems.<BR>\n" );
document.write( "Write an equation showing how he got 40 points<BR>\n" );
document.write( "And<BR>\n" );
document.write( "Graph out both equations and explain what the point of intersection means.\r<BR>\n" );
document.write( "\n" );
document.write( "I have no idea how or where to start on this, and neither do any of my friends or family. Please Help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #20758 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=20758\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let \"x\" be the number of questions where he received 2 points.<BR>\n" );
document.write( "Let \"y\" be the number of questions where he received -1 points.<BR>\n" );
document.write( "Then x+y=50<BR>\n" );
document.write( "The x answers will gain him 2x points  (2 pts. for each x answer)<BR>\n" );
document.write( "The y answers will lose him -y points  (lose -1 for each y answer)<BR>\n" );
document.write( "Then 2x-y=40<BR>\n" );
document.write( "You now have two eqations  and two unknows:<BR>\n" );
document.write( "Add the two equations to get:<BR>\n" );
document.write( "3x=90<BR>\n" );
document.write( "x=30 (number of questions where he received 2 points)<BR>\n" );
document.write( "Substiute that value into the 1st (or the 2nd) equation and solve for \"y\":<BR>\n" );
document.write( "30+y=50<BR>\n" );
document.write( "y=20 (number of questions where he lost a point)<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );