document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=82992>Question 82992</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618203230/algebrahomeworkh>introductory algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> a coumputer online service charges one hourly price for regular use but a higher hourly rate for designated \" permium\" areas. one customer was charged $28 after spending 2 h in permium areas and 9 regular hours another spent 3 h in the permium areas and 6 regular hours and was charged $27. what does the online service charge per hour for regulae and premium service? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59961 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=59961\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a computer on-line service charges one hourly price for regular use but a higher hourly rate for designated \" premium\" areas. one customer was charged $28 after spending 2 h in premium areas and 9 regular hours another spent 3 h in the premium areas and 6 regular hours and was charged $27. what does the on-line service charge per hour for regular and premium service?<BR>\n" );
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document.write( "x = charge for premium area<BR>\n" );
document.write( "y = charge for regular area<BR>\n" );
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document.write( "Write an equation for each customer:<BR>\n" );
document.write( "2x + 9y = 28<BR>\n" );
document.write( "3x + 6y = 27<BR>\n" );
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document.write( "Multiply 1st equation by 3, and the 2nd equation by 2:<BR>\n" );
document.write( "6x + 27y = 84<BR>\n" );
document.write( "6x + 12y = 54<BR>\n" );
document.write( "---------------subtracting eliminates x<BR>\n" );
document.write( "0x + 15y = 30<BR>\n" );
document.write( "y = 30/15<BR>\n" );
document.write( "y = $2/hr is the cost of regular service<BR>\n" );
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document.write( "Find x using 2x + 9y = 28; substitute 2 for y:<BR>\n" );
document.write( "2x + 9(2) = 28<BR>\n" );
document.write( "2x + 18 = 28<BR>\n" );
document.write( "2x = 28 - 18<BR>\n" );
document.write( "2x = 10<BR>\n" );
document.write( "x = 10/2<BR>\n" );
document.write( "x = $5/hr  is cost of premium service<BR>\n" );
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document.write( "Check solution in the 2nd equation:<BR>\n" );
document.write( "3(5) + 6(2) = 27<BR>\n" );
document.write( " </SPAN>\n" );
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