document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=220624>Question 220624</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You worked 14 hours last week and earned $96 before taxes. Your job as a lifeguard pays $8 per hour, and your job as a cashier pays $6 per hour. How many hours did you work at each job? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #165569 by </B><A HREF=/tutors/aboutme.mpl?userid=likaaka><B>likaaka(51)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=likaaka><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=165569\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x represent the number of hours worked as a lifeguard and y represent the number of hours worked as a cashier. Now set up a system of equations using total hours worked and wages earned.\r<BR>\n" );
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document.write( "x+y=14<BR>\n" );
document.write( "8x+6y=96\r<BR>\n" );
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document.write( "To solve using substitution:<BR>\n" );
document.write( "x+y=14, set equation to x= by subtracting y from both sides<BR>\n" );
document.write( "x=14-y, now substitute the value of x into the second equation<BR>\n" );
document.write( "8(14-y)+6y=96, distribute the 8<BR>\n" );
document.write( "112-8y+6y=96, combine like terms<BR>\n" );
document.write( "112-2y=96, subtract 112 from both sides<BR>\n" );
document.write( "-2y=-16, divide both sides by -2<BR>\n" );
document.write( "y=8, so 8 hours are worked at the cashier job<BR>\n" );
document.write( "Given y=8, solve for x<BR>\n" );
document.write( "x+8=14, subtract 8 from both sides<BR>\n" );
document.write( "x=6, so 6 hours are worked as a lifeguard </SPAN>\n" );
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