document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=70356>Question 70356</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rewrite the equation as a function of x.\r<BR>\n" );
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document.write( "-3x + 4y = 11 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #50187 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=50187\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x+%2B+4y+=+11 ALIGN=MIDDLE  ALT=\"-3x+%2B+4y+=+11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "To rewrite this as a function of x, you need to do two things ... first solve for y and then<BR>\n" );
document.write( "replace y by f(x).<BR>\n" );
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document.write( "First solve for y. You need to move the -3x to the other side of the equation.  You can <BR>\n" );
document.write( "do that by adding 3x to both sides.  On the left side the +3x cancels the -3x, and on the<BR>\n" );
document.write( "right side the +3x appears.  You now have:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2B4y+=+%2B3x+%2B+11 ALIGN=MIDDLE  ALT=\"%2B4y+=+%2B3x+%2B+11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "You can now solve for just +y by dividing both sides by the coefficient (or multiplier) <BR>\n" );
document.write( "of y.  In this case the coefficient of y is +4, so divide both sides of the equation<BR>\n" );
document.write( "by +4.  The result is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y%2F4+=+3x%2F4+%2B+11%2F4 ALIGN=MIDDLE  ALT=\"4y%2F4+=+3x%2F4+%2B+11%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "This simplifies to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%283%2F4%29%2Ax+%2B+%2811%2F4%29 ALIGN=MIDDLE  ALT=\"y+=+%283%2F4%29%2Ax+%2B+%2811%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "As the final step you replace y by f(x) to end up with:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+%283%2F4%29%2Ax+%2B+%2811%2F4%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+%283%2F4%29%2Ax+%2B+%2811%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and this has re-written the original equation (that was in standard form) into the form<BR>\n" );
document.write( "of a function of x (denoted by f(x))<BR>\n" );
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document.write( "Hope this helps you to see how to do problems of this sort.  Just follow the two-step<BR>\n" );
document.write( "process ... first solve in for y in terms of x and then replace y by the notation f(x). \r<BR>\n" );
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