document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=217872>Question 217872</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question #1\r<BR>\n" );
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document.write( "6x + 5y +2z = 830<BR>\n" );
document.write( "3x + 7y+4z=820<BR>\n" );
document.write( "2z-22=x\r<BR>\n" );
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document.write( "HELP! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #164178 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=164178\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 6x + 5y +2z = 830<BR>\n" );
document.write( "3x + 7y+4z=820<BR>\n" );
document.write( "2z-22=x<BR>\n" );
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document.write( "Since x is already given in terms of z (in the 3rd eqn), sub for x in the other 2 equations.<BR>\n" );
document.write( "6x + 5y +2z = 830<BR>\n" );
document.write( "3x + 7y+4z=820<BR>\n" );
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document.write( "6(2z-22) + 5y + 2z = 830<BR>\n" );
document.write( "5y + 14z = 962 Eqn A<BR>\n" );
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document.write( "3(2z-22) + 7y + 4z = 820<BR>\n" );
document.write( "7y + 10z = 886 Eqn B<BR>\n" );
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document.write( "Get the same coefficient for y by multiplying Eqn A by 7 and Eqn B by 5<BR>\n" );
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document.write( "35y + 98z = 5810 A times 7<BR>\n" );
document.write( "35y + 50z = 4430 B times 5<BR>\n" );
document.write( "---------------- Subtract<BR>\n" );
document.write( "0y + 48z = 1380<BR>\n" );
document.write( "z = 1380/48<BR>\n" );
document.write( "z 115/4  One answer done<BR>\n" );
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document.write( "Sub for z into Eqn A (or B, same result)<BR>\n" );
document.write( "5y + 14z = 962 Eqn A<BR>\n" );
document.write( "5y + 14*115/4 = 962<BR>\n" );
document.write( "5y = 962 - 805/2 = 1119/2<BR>\n" );
document.write( "y = 1119/10 = 111.9<BR>\n" );
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document.write( "Sub for y and z into any of the 3 original eqns to find x<BR>\n" );
document.write( "6x + 5y +2z = 830<BR>\n" );
document.write( "6x + 5*1119/10 + 2*115/4 = 830<BR>\n" );
document.write( "6x = 4260/6<BR>\n" );
document.write( "x = 710<BR>\n" );
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