document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=108271>Question 108271</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problem! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #78883 by </B><A HREF=/tutors/aboutme.mpl?userid=Annabelle1><B>Annabelle1(69)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Annabelle1><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=78883\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Kevin works 3 times as many hours in a week as Karen does. If each were to work 6 h more per week, Kevin would be working twice as many hours as Karen does. How many hours does each work  now?\r<BR>\n" );
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document.write( "Kevin works x hours<BR>\n" );
document.write( "karen works y hours\r<BR>\n" );
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document.write( "x=3y<BR>\n" );
document.write( "x+6=2(y+6)\r<BR>\n" );
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document.write( "x-3y=0<BR>\n" );
document.write( "x+6=2y+12<BR>\n" );
document.write( "x-2y=6<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=linear_substitution.solver>SOLVE linear system by SUBSTITUTION</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Solve:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+system%28+%0D%0A++++1%5Cx+%2B+-3%5Cy+=+0%2C%0D%0A++++1%5Cx+%2B+-2%5Cy+=+6+%29%0D%0A++ ALIGN=MIDDLE  ALT=\"+system%28+%0D%0A++++1%5Cx+%2B+-3%5Cy+=+0%2C%0D%0A++++1%5Cx+%2B+-2%5Cy+=+6+%29%0D%0A++\"   DISABLED_style= \"max-width:90%; height:auto;\" >We'll use substitution. After moving -3*y to the right, we get:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Ax+=+0+-+-3%2Ay ALIGN=MIDDLE  ALT=\"1%2Ax+=+0+-+-3%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+0%2F1+-+-3%2Ay%2F1 ALIGN=MIDDLE  ALT=\"x+=+0%2F1+-+-3%2Ay%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Substitute that<BR>\n" );
document.write( "  into another equation:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2A%280%2F1+-+-3%2Ay%2F1%29+%2B+-2%5Cy+=+6 ALIGN=MIDDLE  ALT=\"1%2A%280%2F1+-+-3%2Ay%2F1%29+%2B+-2%5Cy+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" > and simplify: So, we know that y=6. Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+0%2F1+-+-3%2Ay%2F1 ALIGN=MIDDLE  ALT=\"x+=+0%2F1+-+-3%2Ay%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, x=18.<BR>\n" );
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document.write( "  Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28+x=18%2C+y=6+%29 ALIGN=MIDDLE  ALT=\"system%28+x=18%2C+y=6+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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