document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=755197>Question 755197</A>: <I><SPAN STYLE=\"word-break: break-all;\"> [(1+b)/b](x) + [(1+a)/a](y) = b-a <BR>\n" );
document.write( "x/a - 4y/b = 5\r<BR>\n" );
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document.write( "Need help please. I got this problem in a linear equation worksheet. But as the equation has a degree of more than one, i'm posting this here. Please help as soon as possible.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #459542 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39630)</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=459542\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Those equations have x and y to degree 1.  Each equation can be simplified but the degrees on x and y will still be 1.  \r<BR>\n" );
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document.write( "[(1+b)/b](x) + [(1+a)/a](y) = b-a<BR>\n" );
document.write( "As rendered should be as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%281%2Bb%29%2Fb%29%28x%29+%2B+%28%281%2Ba%29%2Fa%29%28y%29+=+b-a ALIGN=MIDDLE  ALT=\"%28%281%2Bb%29%2Fb%29%28x%29+%2B+%28%281%2Ba%29%2Fa%29%28y%29+=+b-a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Ab ALIGN=MIDDLE  ALT=\"a%2Ab\"   DISABLED_style= \"max-width:90%; height:auto;\" > to clear the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Fa+-+4y%2Fb+=+5 ALIGN=MIDDLE  ALT=\"x%2Fa+-+4y%2Fb+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "See the l.c.d. is also <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Ab ALIGN=MIDDLE  ALT=\"a%2Ab\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Ab ALIGN=MIDDLE  ALT=\"a%2Ab\"   DISABLED_style= \"max-width:90%; height:auto;\" > to clear the fractions.\r<BR>\n" );
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document.write( "I'll jump ahead some, since you may already know how to clear the fractions and simplify each of these simultaneous equations.  You will find you have this system linear in x and y, exponent on x and y being 1:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%281%2Bb%29x%2Bb%281%2Ba%29y=ab%5E2-ba%5E2 ALIGN=MIDDLE  ALT=\"a%281%2Bb%29x%2Bb%281%2Ba%29y=ab%5E2-ba%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "AND<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=bx-4ay=5ab ALIGN=MIDDLE  ALT=\"bx-4ay=5ab\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "I would recommend solving the second equation for either x or y and subsitute into the first equation and solve for the single variable there; and then solve for the other variable.   I'll give one of those pathways here:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=bx-4ay%2B4ay=5ab%2B4ay ALIGN=MIDDLE  ALT=\"bx-4ay%2B4ay=5ab%2B4ay\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=bx=5ab%2B4ay ALIGN=MIDDLE  ALT=\"bx=5ab%2B4ay\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%285ab%2B4ay%29%2Fb ALIGN=MIDDLE  ALT=\"x=%285ab%2B4ay%29%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and substitute this for x in the other equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%281%2Bb%29x%2Bb%281%2Ba%29y=ab%5E2-ba%5E2 ALIGN=MIDDLE  ALT=\"a%281%2Bb%29x%2Bb%281%2Ba%29y=ab%5E2-ba%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%281%2Bb%29%281%2Fb%29%285ab%2B4ay%29%2Bb%281%2Ba%29y=ab%5E2-ba%5E2 ALIGN=MIDDLE  ALT=\"a%281%2Bb%29%281%2Fb%29%285ab%2B4ay%29%2Bb%281%2Ba%29y=ab%5E2-ba%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Many very detailed simplification steps too difficult to show in typed text form, so done on paper, yielding this not necessarily finished solution for only y:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=b%28ab%5E2-ba%5E2-5a%5E2%281%2Ba%29%29%2F%284a%5E2%281%2Bb%29%2Bb%5E2%281%2Ba%29%29 ALIGN=MIDDLE  ALT=\"y=b%28ab%5E2-ba%5E2-5a%5E2%281%2Ba%29%29%2F%284a%5E2%281%2Bb%29%2Bb%5E2%281%2Ba%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Seems to have no special useful factorizations there so the best simplification is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=%28ab%5E3-a%5E2b%5E2-5a%5E2b-5a%5E3b%29%2F%284a%5E2%2B4a%5E2b%2Bab%5E2%2Bb%5E2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Best way to find x is to go back to the second equation and solve that for y and substitute into the first equation and go through the long steps to solve for a formula for x.  </SPAN>\n" );
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