document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=434346>Question 434346</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Systems of Equations and Inequalities\r<BR>\n" );
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document.write( "Suppose you have a job at a restaurant that pays $12 per hour. You also work at a bookstore that pays $9 per hour. You want to earn at least $225 per week, but would like to work no more than 25 hours per week. \r<BR>\n" );
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document.write( "a.	Write a system of linear inequalities that describes this situation. <BR>\n" );
document.write( "b.	Determine the solutions to the system. Explain what each solution to the system represents. \r<BR>\n" );
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document.write( "I was thinking that I need to have a problem equation something like this:<BR>\n" );
document.write( "x+y=25<BR>\n" );
document.write( "9x+12y=225 <BR>\n" );
document.write( "This is as far as I can get.  Can you show me where I am going wrong and how to proceed. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #301001 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=301001\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose you have a job at a restaurant that pays $12 per hour.<BR>\n" );
document.write( " You also work at a bookstore that pays $9 per hour.<BR>\n" );
document.write( " You want to earn at least $225 per week, but would like to work no more than 25 hours per week.<BR>\n" );
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document.write( "a. Write a system of linear inequalities that describes this situation.<BR>\n" );
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document.write( "This is right, but should be written as an inequality<BR>\n" );
document.write( "x + y =< 25<BR>\n" );
document.write( "9x+12y=>225<BR>\n" );
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document.write( "Use the 1st equation for substitution in the 2nd equation<BR>\n" );
document.write( "y = (25-x)<BR>\n" );
document.write( "9x + 12(25-x) => 225 <BR>\n" );
document.write( "9x + 300 - 12x => 225<BR>\n" );
document.write( "9x - 12x => 225 - 300<BR>\n" );
document.write( "-3x => -75<BR>\n" );
document.write( "Multiply by -1, to get rid of the negatives, this reverses the inequality sign<BR>\n" );
document.write( "3x =< 75<BR>\n" );
document.write( "x =< <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=75%2F3 ALIGN=MIDDLE  ALT=\"75%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x =< 25 hrs at the book store,<BR>\n" );
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document.write( "If you worked all 25 hr at the book store you would just make $225<BR>\n" );
document.write( "Less than 25 hrs, you would work the remaining hr at the restaurant and make more than $225   </SPAN>\n" );
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