document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=91964>Question 91964</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following systems by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "     2x +3y = 1<BR>\n" );
document.write( "     5x +3y =16<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #66792 by </B><A HREF=/tutors/aboutme.mpl?userid=mathispowerful><B>mathispowerful(115)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathispowerful><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=66792\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x +3y = 1<BR>\n" );
document.write( "5x +3y =16\r<BR>\n" );
document.write( "\n" );
document.write( "multiply the first equation by -1\r<BR>\n" );
document.write( "\n" );
document.write( "-2x - 3y = -1\r<BR>\n" );
document.write( "\n" );
document.write( "add to second equation:\r<BR>\n" );
document.write( "\n" );
document.write( "we get  3x = 15\r<BR>\n" );
document.write( "\n" );
document.write( "so  x = 5\r<BR>\n" );
document.write( "\n" );
document.write( "substitute x in the first equation with 5 to solve for y\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A5+%2B+3y+=+1 ALIGN=MIDDLE  ALT=\"2%2A5+%2B+3y+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "10 + 3y = 1\r<BR>\n" );
document.write( "\n" );
document.write( "solve this one variable equation\r<BR>\n" );
document.write( "\n" );
document.write( "y = -3\r<BR>\n" );
document.write( "\n" );
document.write( "so the answer is  x = 5<BR>\n" );
document.write( "                  y = -3 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );