document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1008728>Question 1008728</A>: <I><SPAN STYLE=\"word-break: break-all;\"> on a test 20 problems are given. Five points for each correct answer, 2 points deducted for each incorrect answer. how many correct answered are required to score 79 on the test </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #624326 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=624326\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Call correct answers x and wrong answers y.  Then we have<BR>\n" );
document.write( "x + y = 20  and<BR>\n" );
document.write( "5x - 2y = 79<BR>\n" );
document.write( "Now multiply the top equation by 5 and subtract it from the second equation and get<BR>\n" );
document.write( "5x - 2y = 79<BR>\n" );
document.write( "-(5x + 5y = 100)<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "-7y = -21<BR>\n" );
document.write( "y = 3 wrong answers leaving<BR>\n" );
document.write( "x = 17 right answers<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );