document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=51710>Question 51710</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve these problems.<BR>\n" );
document.write( "0.1x+0.06y=9<BR>\n" );
document.write( "0.09x+0.05y=52.7<BR>\n" );
document.write( "and<BR>\n" );
document.write( "x-y=3<BR>\n" );
document.write( "-6x+6y=17<BR>\n" );
document.write( "If you could show me how to solve I would appreciate it.  Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #34505 by </B><A HREF=/tutors/aboutme.mpl?userid=rchill><B>rchill(405)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rchill><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=34505\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'll solve the second and you can solve the first as the process is exactly the same -- always solve for y.  By adding y to both sides in the first equation of the second problem, we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=y%2B3 ALIGN=MIDDLE  ALT=\"x=y%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Now subtract 3 from both sides to get<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x-3 ALIGN=MIDDLE  ALT=\"y=x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  For the second equation, add 6x to both sides to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6y=6x%2B17 ALIGN=MIDDLE  ALT=\"6y=6x%2B17\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Now divide both sides by 6 to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%2B17%2F6 ALIGN=MIDDLE  ALT=\"y=x%2B17%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Because both equations have the same slope of 1, we know they will be parallel lines. Graphing both lines: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-5%2C5%2C-10%2C10%2Cx-3%2Cx%2B17%2F6%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-5%2C5%2C-10%2C10%2Cx-3%2Cx%2B17%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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