document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=168849>Question 168849</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/013133798x/algebrahomeworkh>Prentice Hall Algebra 2 with trigonometry</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equation:\r<BR>\n" );
document.write( "\n" );
document.write( "using a system of two equations.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The sum of a certain number and a second number is -42. The first number minus the second is 52. Find the numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #124505 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=124505\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> lets call the numbers a and b<BR>\n" );
document.write( ":<BR>\n" );
document.write( "a+b=-42...eq 1<BR>\n" );
document.write( "a-b=52....eq 2\r<BR>\n" );
document.write( "\n" );
document.write( "using the elimination method to solve means we try to eliminate one of the variables and we can do that just by adding the 2 equation together(the b terms cancel out.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "we end up with 2a=10---> divide by 2 and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a=5%29 ALIGN=MIDDLE  ALT=\"highlight%28a=5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "to find b just plug a's value into either equation<BR>\n" );
document.write( ":<BR>\n" );
document.write( "5-b=52--->subtract 5 from each side and divide by -1<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28b=-47%29 ALIGN=MIDDLE  ALT=\"highlight%28b=-47%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );