document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=256592>Question 256592</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with solving this problem by the addition method. <BR>\n" );
document.write( "6x + 15y = -45<BR>\n" );
document.write( "6x + 5y  = -35\r<BR>\n" );
document.write( "\n" );
document.write( "This is what I tried to do:  6x + 15y = -45<BR>\n" );
document.write( "                             6x +  5y = -35<BR>\n" );
document.write( "                              <BR>\n" );
document.write( "                             12x + 20y =-75 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #188677 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=188677\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The method we will use is called the \"elimination\" or \"multiplication-elimination\" method. We want to get rid of a variable. Here was the original question:<BR>\n" );
document.write( "(i) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x+%2B+15y+=+-45 ALIGN=MIDDLE  ALT=\"6x+%2B+15y+=+-45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(ii) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x+%2B+5y++=+-35 ALIGN=MIDDLE  ALT=\"6x+%2B+5y++=+-35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "As we look at these equations, it would be easier to eliminate the variable. So, multiply (ii) by (-1) to get<BR>\n" );
document.write( "(iii) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6x+-+5y+=+35 ALIGN=MIDDLE  ALT=\"-6x+-+5y+=+35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now add (i) and (iii) to get<BR>\n" );
document.write( "(iv) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10y+=+-10 ALIGN=MIDDLE  ALT=\"10y+=+-10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "solving for y, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-1 ALIGN=MIDDLE  ALT=\"y+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "replace y with -1 into (i) to get<BR>\n" );
document.write( "(v) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x+%2B+15%2A%28-1%29+=+-45 ALIGN=MIDDLE  ALT=\"6x+%2B+15%2A%28-1%29+=+-45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "solving for x, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x+=+-30 ALIGN=MIDDLE  ALT=\"6x+=+-30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-5 ALIGN=MIDDLE  ALT=\"x+=+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Our coordinate is (-5,-1) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );