document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=48025>Question 48025</A>: <I><SPAN STYLE=\"word-break: break-all;\"> dear tutors, plz help me find the value of a and b so that x/a + y/b =1 passes through (3,-2) and (9,2).<BR>\n" );
document.write( " I've already tried answering it but i dont know how..<BR>\n" );
document.write( "i solved the value of x and y.. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #31770 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=31770\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2Fa%29+%2B+%28y%2Fb%29+=+1+ ALIGN=MIDDLE  ALT=\"+%28x%2Fa%29+%2B+%28y%2Fb%29+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(3,-2) --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283%2Fa%29+%2B+%28%28-2%29%2Fb%29+=+1+ ALIGN=MIDDLE  ALT=\"+%283%2Fa%29+%2B+%28%28-2%29%2Fb%29+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--> now multiply all terms by ab<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283%2Fa%29%28ab%29+%2B+%28%28-2%29%2Fb%29%28ab%29+=+%28ab%29+ ALIGN=MIDDLE  ALT=\"+%283%2Fa%29%28ab%29+%2B+%28%28-2%29%2Fb%29%28ab%29+=+%28ab%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3b+-+2a+=+ab+ ALIGN=MIDDLE  ALT=\"+3b+-+2a+=+ab+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(9,2) --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%289%2Fa%29+%2B+%282%2Fb%29+=+1+ ALIGN=MIDDLE  ALT=\"+%289%2Fa%29+%2B+%282%2Fb%29+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--> now multiply all terms by ab, again<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%289%2Fa%29%28ab%29+%2B+%282%2Fb%29%28ab%29+=+%28ab%29+ ALIGN=MIDDLE  ALT=\"+%289%2Fa%29%28ab%29+%2B+%282%2Fb%29%28ab%29+=+%28ab%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9b+%2B+2a+=+ab+ ALIGN=MIDDLE  ALT=\"+9b+%2B+2a+=+ab+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now we have<BR>\n" );
document.write( "3b - 2a = ab and<BR>\n" );
document.write( "9b + 2a = ab\r<BR>\n" );
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document.write( "Lets add them:<BR>\n" );
document.write( "12b = 2ab<BR>\n" );
document.write( "2a = 12<BR>\n" );
document.write( "--> a = 6\r<BR>\n" );
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document.write( "Now, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9b+%2B+2a+=+ab+ ALIGN=MIDDLE  ALT=\"+9b+%2B+2a+=+ab+\"   DISABLED_style= \"max-width:90%; height:auto;\" > gives 9b + 12 = 6b<BR>\n" );
document.write( "3b = -12<BR>\n" );
document.write( "b = -4\r<BR>\n" );
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document.write( "So we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2F6%29+%2B+%28y%2F%28-4%29%29+=+1+ ALIGN=MIDDLE  ALT=\"+%28x%2F6%29+%2B+%28y%2F%28-4%29%29+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2F6%29+-+%28y%2F4%29+=+1+ ALIGN=MIDDLE  ALT=\"+%28x%2F6%29+-+%28y%2F4%29+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "CHECK: use (3,-2):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283%2F6%29+-+%28%28-2%29%2F4%29+ ALIGN=MIDDLE  ALT=\"+%283%2F6%29+-+%28%28-2%29%2F4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F2%29+%2B+%281%2F2%29+ ALIGN=MIDDLE  ALT=\"+%281%2F2%29+%2B+%281%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "is 1... correct\r<BR>\n" );
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document.write( "CHECK: use (9,2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%289%2F6%29+-+%282%2F4%29+ ALIGN=MIDDLE  ALT=\"+%289%2F6%29+-+%282%2F4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283%2F2%29+-+%281%2F2%29+ ALIGN=MIDDLE  ALT=\"+%283%2F2%29+-+%281%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "is 1... correct\r<BR>\n" );
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document.write( "jon<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );