document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1097690>Question 1097690</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following system of equations by any method.\r<BR>\n" );
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document.write( "x/6 +y/2+ z/6 =1/2<BR>\n" );
document.write( "x+y+z=5<BR>\n" );
document.write( "x/3 +y/2 +z/6= 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #712154 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=712154\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br>There are dozens of different paths you could take to solve this system of equations....<br><BR>\n" );
document.write( "I would be inclined to clear fractions in the first and third equations, since working with fractions always slows things down and makes it easier to make careless mistakes.  So<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3y%2Bz+=+3 ALIGN=MIDDLE  ALT=\"x%2B3y%2Bz+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By%2Bz+=+5 ALIGN=MIDDLE  ALT=\"x%2By%2Bz+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B3y%2Bz+=+6 ALIGN=MIDDLE  ALT=\"2x%2B3y%2Bz+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (3)<br><BR>\n" );
document.write( "Comparing (1) and (3) immediately gives us x=3; comparing (1) and (2) yields 2y=-2, so y=-1.  Then substituting x=3 and y=-1 in (2) gives us z=3.<br><BR>\n" );
document.write( "Answer:  (x,y,z) = (3,-1,3) </SPAN>\n" );
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