document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=124645>Question 124645</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system by addition.  If a unique solution does not exist, state whether the system is inconsistent or dependent.\r<BR>\n" );
document.write( "\n" );
document.write( "x+5y=10<BR>\n" );
document.write( "-2x-10y= -20\r<BR>\n" );
document.write( "\n" );
document.write( "Show your solution below:\r<BR>\n" );
document.write( "\n" );
document.write( "What is the solution for this system?\r<BR>\n" );
document.write( "\n" );
document.write( "What type of system is this?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\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 #91362 by </B><A HREF=/tutors/aboutme.mpl?userid=gems><B>gems(12)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gems><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=91362\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> from x+5y=10, use substitution method x= 10-5y<BR>\n" );
document.write( "using 2nd equation -2x+10y=-20, <BR>\n" );
document.write( "-2(10-5y)+10y=-20<BR>\n" );
document.write( "-20+10y+10y=-20<BR>\n" );
document.write( "20y=-20+20<BR>\n" );
document.write( "20y=0<BR>\n" );
document.write( "y=0\r<BR>\n" );
document.write( "\n" );
document.write( "ify=0, <BR>\n" );
document.write( "x+5y=10<BR>\n" );
document.write( "x+5(0)=10<BR>\n" );
document.write( "x+0=10<BR>\n" );
document.write( "x=10\r<BR>\n" );
document.write( "\n" );
document.write( "So the solution is x= 10, y=0<BR>\n" );
document.write( "the equation is consistent\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );