document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=70096>Question 70096</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rewrite the equation –8x – 5y = –45 as a function of x. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #49971 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=49971\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> –8x – 5y = –45 \r<BR>\n" );
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document.write( "To re-write this as a function the basic process is to solve for y and then replace<BR>\n" );
document.write( "y with f(x)<BR>\n" );
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document.write( "So let's begin by solving it for y.  First you can start by adding 8x to both sides.<BR>\n" );
document.write( "On the left side this has the effect of canceling out the -8x.  On the right side it makes<BR>\n" );
document.write( "a +8x appear.  So by adding 8x to both sides the equation becomes:<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5y+=+8x+-+45 ALIGN=MIDDLE  ALT=\"-5y+=+8x+-+45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now, to get just y on the left side let's divide all the terms on both sides by the -5 <BR>\n" );
document.write( "that is the multiplier of y. When you do that you get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28%288x%29%2F-5%29+-+45%2F%28-5%29 ALIGN=MIDDLE  ALT=\"y+=+%28%288x%29%2F-5%29+-+45%2F%28-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Performing the division on the right side results in:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-%288%2F5%29%2A+x+-%28-9%29 ALIGN=MIDDLE  ALT=\"y+=+-%288%2F5%29%2A+x+-%28-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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document.write( "and this further simplifies to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-%288%2F5%29%2Ax+%2B+9 ALIGN=MIDDLE  ALT=\"y+=+-%288%2F5%29%2Ax+%2B+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Finish the problem by replacing y with f(x) to make the equation:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+-%288%2F5%29%2Ax+%2B+9 ALIGN=MIDDLE  ALT=\"f%28x%29+=+-%288%2F5%29%2Ax+%2B+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "This is the answer you are looking for.<BR>\n" );
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document.write( "Please check the above work.  The basic process is OK, but make sure I didn't accidentally<BR>\n" );
document.write( "make any math errors.<BR>\n" );
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document.write( "Hope this helps you to understand how to change the standard form of an equation into the<BR>\n" );
document.write( "f(x) form. </SPAN>\n" );
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