document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=862167>Question 862167</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve by cross multiplication method<BR>\n" );
document.write( "QUS: x is divided by a + y is divided by b is equal to a+b,this is first equation<BR>\n" );
document.write( "   & x is divided by square of a + y is divided by square of b is equal to two,<BR>\n" );
document.write( " this is equation two </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #519506 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=519506\">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%2F%28a%2By%29%29%2Fb=a%2Bb ALIGN=MIDDLE  ALT=\"%28x%2F%28a%2By%29%29%2Fb=a%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >, your first equation;\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%28a%2By%29%5E2%2Fb%5E2=2 ALIGN=MIDDLE  ALT=\"x%2F%28a%2By%29%5E2%2Fb%5E2=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, your second equation.\r<BR>\n" );
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document.write( "Those already look crazy.  Here is another try to understand:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Fa%2By%2Fb=a%2Bb ALIGN=MIDDLE  ALT=\"x%2Fa%2By%2Fb=a%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >, your first equation;<BR>\n" );
document.write( "Simplifying, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=bx%2Bay=ab%28a%2Bb%29 ALIGN=MIDDLE  ALT=\"bx%2Bay=ab%28a%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Fa%5E2%2By%2Fb%5E2=2 ALIGN=MIDDLE  ALT=\"x%2Fa%5E2%2By%2Fb%5E2=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, your second equation.<BR>\n" );
document.write( "Simplifying, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2%2Ax%2Ba%5E2y=2a%5E2b%5E2 ALIGN=MIDDLE  ALT=\"b%5E2%2Ax%2Ba%5E2y=2a%5E2b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "Continuing with this, these equations are both linear in x and y.  That is assuming if a and b are taken as constants.<BR>\n" );
document.write( "System is:<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "bx+ay=ab(a+b)<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "b^2x+a^2y=a(ab)^2<BR>\n" );
document.write( "--------------------\r<BR>\n" );
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document.write( "Maybe use Elimination Method.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2Abx%2Bb%2Aay=ab%5E2%28a%2Bb%29 ALIGN=MIDDLE  ALT=\"b%2Abx%2Bb%2Aay=ab%5E2%28a%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, as first equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%5E2x%2Ba%5E2y%29-%28b%5E2x%2Baby%29=a%28ab%29%5E2-ab%5E2%28a%2Bb%29 ALIGN=MIDDLE  ALT=\"%28b%5E2x%2Ba%5E2y%29-%28b%5E2x%2Baby%29=a%28ab%29%5E2-ab%5E2%28a%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, subtracting first from second.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2y-aby=a%5E3%2Ab%5E2-ab%5E2%28a%2Bb%29 ALIGN=MIDDLE  ALT=\"a%5E2y-aby=a%5E3%2Ab%5E2-ab%5E2%28a%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the x term has been \"eliminated\".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5E2-ab%29y=a%5E3b%5E2-ab%5E2%28a%2Bb%29 ALIGN=MIDDLE  ALT=\"%28a%5E2-ab%29y=a%5E3b%5E2-ab%5E2%28a%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28a%5E3b%5E2-ab%5E2%28a%2Bb%29%29%2F%28a%5E2-ab%29 ALIGN=MIDDLE  ALT=\"y=%28a%5E3b%5E2-ab%5E2%28a%2Bb%29%29%2F%28a%5E2-ab%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=%28a%5E2b%5E2-b%5E2%28a%2Bb%29%29%2F%28a-b%29%29 ALIGN=MIDDLE  ALT=\"highlight%28y=%28a%5E2b%5E2-b%5E2%28a%2Bb%29%29%2F%28a-b%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Next, to solve for x, you could either try elimination of y to solve for x, or you could try substituting what was just found for y into either system equation and solve for x.  <BR>\n" );
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document.write( "Here is an attempt substituting.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2x%2Ba%5E2y=a%28ab%29%5E2 ALIGN=MIDDLE  ALT=\"b%5E2x%2Ba%5E2y=a%28ab%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Ab%5E2=a%5E3b%5E2-a%5E2y ALIGN=MIDDLE  ALT=\"x%2Ab%5E2=a%5E3b%5E2-a%5E2y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28a%5E3b%5E2-a%5E2y%29%2F%28b%5E2%29=a%5E3-%28a%2Fb%29%5E2%2Ay ALIGN=MIDDLE  ALT=\"x=%28a%5E3b%5E2-a%5E2y%29%2F%28b%5E2%29=a%5E3-%28a%2Fb%29%5E2%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=a%5E3-%28a%2Fb%29%5E2%28%28a%5E2b%5E2-b%5E2%28a%2Bb%29%29%2F%28a-b%29%29 ALIGN=MIDDLE  ALT=\"x=a%5E3-%28a%2Fb%29%5E2%28%28a%5E2b%5E2-b%5E2%28a%2Bb%29%29%2F%28a-b%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >... and then a bit of further work to simplify this.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=a%5E3-a%5E2%28a%5E2-ab%29%2F%28a-b%29 ALIGN=MIDDLE  ALT=\"x=a%5E3-a%5E2%28a%5E2-ab%29%2F%28a-b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=a%5E3-a%5E3%28a-b%29%2F%28a-b%29 ALIGN=MIDDLE  ALT=\"x=a%5E3-a%5E3%28a-b%29%2F%28a-b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=a%5E3-a%5E3%2A1 ALIGN=MIDDLE  ALT=\"x=a%5E3-a%5E3%2A1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=0%29 ALIGN=MIDDLE  ALT=\"highlight%28x=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----Interesting result. </SPAN>\n" );
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