document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=684372>Question 684372</A>: <I><SPAN STYLE=\"word-break: break-all;\"> addition method<BR>\n" );
document.write( "-x+6y=-2<BR>\n" );
document.write( "5x-30y=10<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 #424058 by </B><A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><B>ReadingBoosters(3246)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><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=424058\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Multiply the first equation by 5, then add the second equation<BR>\n" );
document.write( "5(-x+6y=-2) to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x%2B30y=-10 ALIGN=MIDDLE  ALT=\"-5x%2B30y=-10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "-5x+30y = -10<BR>\n" );
document.write( "5x - 30y = 10<BR>\n" );
document.write( "-5x + 5x + 30y - 30y = -10 + 10<BR>\n" );
document.write( "0 = 0<BR>\n" );
document.write( "This a true statement; therefore, the system is dependent and every point on the line is a solution.  <BR>\n" );
document.write( "This is because they are the same line as seen when putting them both into slope intercept format.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "-x + 6y = -2<BR>\n" );
document.write( "6y = x-2<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F6%29x+-+2%2F6 ALIGN=MIDDLE  ALT=\"%281%2F6%29x+-+2%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F6%29x+-+1%2F3 ALIGN=MIDDLE  ALT=\"%281%2F6%29x+-+1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "AND<BR>\n" );
document.write( "5x - 30y = 10<BR>\n" );
document.write( "-30y = -5x + 10<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F30%29x+%2B+%2810%2F-30%29 ALIGN=MIDDLE  ALT=\"%285%2F30%29x+%2B+%2810%2F-30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F6%29x+-+%281%2F3%29 ALIGN=MIDDLE  ALT=\"%281%2F6%29x+-+%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".....................<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );