document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=254953>Question 254953</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This problem needs to be solved by linear combination method:<BR>\n" );
document.write( "{9xsqrd - 6ysqurd =291<BR>\n" );
document.write( " 3xsqurd + 2ysqurd =197<BR>\n" );
document.write( "both of these are to be bracketed on the left.<BR>\n" );
document.write( " I am really struggling with this problem and am wondering if you must multiply the bottom set by 2 to make it compatible with the top set and where do I go from there? I hope you can help me soon.<BR>\n" );
document.write( "Jeiel </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #187266 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=187266\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your two equations are:<BR>\n" );
document.write( "(i)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2+-+6y%5E2+=+291 ALIGN=MIDDLE  ALT=\"9x%5E2+-+6y%5E2+=+291\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(ii)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2+%2B+2y%5E2+=197 ALIGN=MIDDLE  ALT=\"3x%5E2+%2B+2y%5E2+=197\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step 1 - multiply (ii) by 3 to get<BR>\n" );
document.write( "(iii)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2+%2B+6y%5E2+=+591 ALIGN=MIDDLE  ALT=\"9x%5E2+%2B+6y%5E2+=+591\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "add (i) to (iii) to get<BR>\n" );
document.write( "(iv) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18x%5E2+=+882 ALIGN=MIDDLE  ALT=\"18x%5E2+=+882\"   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=x%5E2+=+49 ALIGN=MIDDLE  ALT=\"x%5E2+=+49\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+plus+or+minus+7 ALIGN=MIDDLE  ALT=\"x+=+plus+or+minus+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now, find y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A7%5E2+%2B+2y%5E2+=197 ALIGN=MIDDLE  ALT=\"3%2A7%5E2+%2B+2y%5E2+=197\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=147+%2B+2y%5E2+=197 ALIGN=MIDDLE  ALT=\"147+%2B+2y%5E2+=197\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y%5E2+=+50%7D%7D%0D%0A%7B%7B%7By%5E2+=+25 ALIGN=MIDDLE  ALT=\"2y%5E2+=+50%7D%7D%0D%0A%7B%7B%7By%5E2+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+plus+or+minus+5 ALIGN=MIDDLE  ALT=\"y+=+plus+or+minus+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );