document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=372841>Question 372841</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have pulled my hair out trying to learn this stuff!! If anyone could help me I'd so appreciate it!! thank you!!\r<BR>\n" );
document.write( "\n" );
document.write( " Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.\r<BR>\n" );
document.write( "\n" );
document.write( "3x + 11y = 34.5\r<BR>\n" );
document.write( "\n" );
document.write( "9x – 7y = -16.5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #265538 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=265538\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It helps to get all the terminology straight,<BR>\n" );
document.write( "otherwise, you can't talk about it<BR>\n" );
document.write( "You have:<BR>\n" );
document.write( "1st equation:<BR>\n" );
document.write( "(term 1) + (term 2) = (term 3)<BR>\n" );
document.write( "2nd equation:<BR>\n" );
document.write( "(term 1) + (term 2) = (term 3)<BR>\n" );
document.write( "What you are trying to do is <BR>\n" );
document.write( "get either the (term 1)'s equal to each other<BR>\n" );
document.write( "or the (term 2)'s equal to each other.<BR>\n" );
document.write( "Then the next step is to multiply both sides <BR>\n" );
document.write( "of equation 2 by -1\r<BR>\n" );
document.write( "\n" );
document.write( "Then when add the equations, you get:<BR>\n" );
document.write( "1st equation:<BR>\n" );
document.write( "(term 1) + (term 2) = (term 3)<BR>\n" );
document.write( "2nd equation:<BR>\n" );
document.write( "-(term 1) - (term 2) = -(term 3) <BR>\n" );
document.write( "So, you've gotten rid of either the (term 1)'s or the (term 2)'s<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "How do you get (term 1)'s equal to each other?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+%2B+11y+=+34.5 ALIGN=MIDDLE  ALT=\"3x+%2B+11y+=+34.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x+-+7y+=+-16.5 ALIGN=MIDDLE  ALT=\"9x+-+7y+=+-16.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides of equation 1 by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x+%2B+33y+=+103.5 ALIGN=MIDDLE  ALT=\"9x+%2B+33y+=+103.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you can multiply both sides of equation 2 by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and add the equations<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x+%2B+33y+=+103.5 ALIGN=MIDDLE  ALT=\"9x+%2B+33y+=+103.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-9x+%2B+7y+=+16.5 ALIGN=MIDDLE  ALT=\"-9x+%2B+7y+=+16.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > (note that all the signs are changed)<BR>\n" );
document.write( "Adding:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40y+=+120 ALIGN=MIDDLE  ALT=\"40y+=+120\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40 ALIGN=MIDDLE  ALT=\"40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+3 ALIGN=MIDDLE  ALT=\"y+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you can plug this result back into<BR>\n" );
document.write( "either equation and find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Does this help?\r<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );