document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=105067>Question 105067</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I was doing my assignment I got stuck on this problem.\r<BR>\n" );
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document.write( "A repair service charges a fixed fee for a house call plus a fixed hourly rate. If a 2 hour call cost $57 and a 4 1/2 hour call costs $97, what is the fixed fee for a house call.\r<BR>\n" );
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document.write( "I have:<BR>\n" );
document.write( "2/57=4.5/97<BR>\n" );
document.write( "194=256.5\r<BR>\n" );
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document.write( "Now what? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #76452 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=76452\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = the fixed fee and y = the hourly rate.<BR>\n" );
document.write( "For the 2-hour call, you can write:<BR>\n" );
document.write( "1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+2y+=+57 ALIGN=MIDDLE  ALT=\"x+%2B+2y+=+57\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...and for the 4.5-hour call, you can write:<BR>\n" );
document.write( "2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+4.5y+=+97 ALIGN=MIDDLE  ALT=\"x+%2B+4.5y+=+97\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You need to solve this system of equations for x, the fixed fee.<BR>\n" );
document.write( "Solve equation 1) for y and substitute into equation 2) then solve it for x.<BR>\n" );
document.write( "1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28%2857-x%29%2F2%29 ALIGN=MIDDLE  ALT=\"y+=+%28%2857-x%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4.5%28%2857-x%29%2F2%29+=+97 ALIGN=MIDDLE  ALT=\"x%2B4.5%28%2857-x%29%2F2%29+=+97\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify and solve for x. Multiply both sides by 2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B4.5%2857-x%29+=+194 ALIGN=MIDDLE  ALT=\"2x%2B4.5%2857-x%29+=+194\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B256.5-4.5x+=+194 ALIGN=MIDDLE  ALT=\"2x%2B256.5-4.5x+=+194\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2.5x+=+-62.5 ALIGN=MIDDLE  ALT=\"-2.5x+=+-62.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-62.5%29%2F-2.5 ALIGN=MIDDLE  ALT=\"x+=+%28-62.5%29%2F-2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+25 ALIGN=MIDDLE  ALT=\"x+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The fixed fee is $25.00<BR>\n" );
document.write( "The hourly fee is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%2857-x%29%2F2 ALIGN=MIDDLE  ALT=\"y+=+%2857-x%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute x = 25.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%2857-25%29%2F2 ALIGN=MIDDLE  ALT=\"y+=+%2857-25%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+32%2F2 ALIGN=MIDDLE  ALT=\"y+=+32%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+16 ALIGN=MIDDLE  ALT=\"y+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The hourly fee is $16.00 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );