document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=239938>Question 239938</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the system of equations using the addition method\r<BR>\n" );
document.write( "\n" );
document.write( "9x-5y=4<BR>\n" );
document.write( "27x-15y=8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #175940 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><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=175940\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To  use  the  addition  method  we  first  must  multiply  the  1st  eqn  by 3<BR>\n" );
document.write( ".<BR>\n" );
document.write( "(1) (9x -5y =4) * 3 = 27x -15y =12<BR>\n" );
document.write( ".<BR>\n" );
document.write( "(2) 27x -15y =8<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "If  we  subtract  (1) from  (2),  we  will  get  8=12,,,which  is  never  true<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Therefore  we  have  no  solutions<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "another  way  to  look  at  this  is  that both  eqns  are  the  same  except  for  the  y intercepts,  therefore  they  are  parallel  lines,,,also  with  no  solution<BR>\n" );
document.write( ".<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );