document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=400966>Question 400966</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Homework problem- this has to be solved using systems of equations, not a graph.  I have to show all work, so I'll definitely need the equations used:\r<BR>\n" );
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document.write( "HIS taxi company charges 1 dollar per mile, with a $3 service fee.  HERS taxi company charges 75 cents per mile, with a $5 service fee.  At what distances do the two taxi companies charge the same amount?\r<BR>\n" );
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document.write( "Thanks!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #283749 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=283749\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> HIS taxi company charges 1 dollar per mile, with a $3 service fee. HERS taxi company charges 75 cents per mile, with a $5 service fee. At what distances do the two taxi companies charge the same amount? <BR>\n" );
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document.write( "HIS Equation:<BR>\n" );
document.write( "A(x) = 3 + 1x where \"x\" is the miles driven<BR>\n" );
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document.write( "HERS Equation:<BR>\n" );
document.write( "B(x) = 5 + 0.75x where \"x\" is the miles driven<BR>\n" );
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document.write( "Solve A(x)=B(x):<BR>\n" );
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document.write( "3+x = 5+0.75x<BR>\n" );
document.write( "0.25x = 2<BR>\n" );
document.write( "x = 8 miles<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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