document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=476571>Question 476571</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve this system of equations.\r<BR>\n" );
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document.write( "x+y+z= 11<BR>\n" );
document.write( "2x+5y+2z= 31<BR>\n" );
document.write( "-x+7y-3z= 1  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #326771 by </B><A HREF=/tutors/aboutme.mpl?userid=Maths68><B>Maths68(1474)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Maths68><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=Maths68><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=326771\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x+y+z= 11……………….(1)<BR>\n" );
document.write( "2x+5y+2z= 31………….(2)<BR>\n" );
document.write( "-x+7y-3z= 1…………….(3)<BR>\n" );
document.write( "Multiply (1) by -2 and add to (2)<BR>\n" );
document.write( "-2x-2y-2z= -22<BR>\n" );
document.write( "2x+5y+2z= 31<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "3y=9<BR>\n" );
document.write( "Y=9/3<BR>\n" );
document.write( "Y=3<BR>\n" );
document.write( "Multiply (1) by 3 and add to (3) <BR>\n" );
document.write( "3x+3y+3z= 33<BR>\n" );
document.write( "-x+7y-3z= 1<BR>\n" );
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document.write( "2x+10y=34 ………………….(4)<BR>\n" );
document.write( "Put the value of y in (4)<BR>\n" );
document.write( "2x+10(3)=34<BR>\n" );
document.write( "2x+30=34<BR>\n" );
document.write( "2x=34-30<BR>\n" );
document.write( "2x=4<BR>\n" );
document.write( "x=4/2<BR>\n" );
document.write( "x=2<BR>\n" );
document.write( "Now put the value of x and y in any of three equations (1),(2),(3)<BR>\n" );
document.write( " We put in (1)<BR>\n" );
document.write( "x+y+z= 11<BR>\n" );
document.write( "2+3+Z=11<BR>\n" );
document.write( "5+Z=11<BR>\n" );
document.write( "Z=11-5<BR>\n" );
document.write( "Z=6<BR>\n" );
document.write( "SO x=2, y=3 and z=6<BR>\n" );
document.write( "To check our result we can put values of x,y,z in any of three equation i.e. (1),(2) or (3)<BR>\n" );
document.write( "First put the values of x,y,z in (1)<BR>\n" );
document.write( "x+y+z= 11<BR>\n" );
document.write( "2+3+6=11<BR>\n" );
document.write( "11=11<BR>\n" );
document.write( "Now in (2)<BR>\n" );
document.write( "2x+5y+2z= 31<BR>\n" );
document.write( "2(2)+5(3)+2(6)=31<BR>\n" );
document.write( "4+15+12=31<BR>\n" );
document.write( "31=31<BR>\n" );
document.write( "In last in (3)<BR>\n" );
document.write( "-x+7y-3z= 1<BR>\n" );
document.write( "-2+7(3)-3(6)=1<BR>\n" );
document.write( "-2+21-81=1<BR>\n" );
document.write( "21-20=1<BR>\n" );
document.write( "1=1<BR>\n" );
document.write( "Note:  There is no need use all three equations to check our result. One equation is enough to verify  our results.<BR>\n" );
document.write( " </SPAN>\n" );
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