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" );
document.write( "\n" );
document.write( "6x + 5y +2z = 830<BR>\n" );
document.write( "3x + 7y+4z=820<BR>\n" );
document.write( "2z-22=x\r<BR>\n" );
document.write( "\n" );
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 #164226 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10858)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=164226\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Question #1\r<BR>\n" );
document.write( "\n" );
document.write( "6x + 5y +2z = 830 ------ (i)<BR>\n" );
document.write( "3x + 7y+4z=820 ---------(ii)<BR>\n" );
document.write( "2z-22=x ---------------(iii)\r<BR>\n" );
document.write( "\n" );
document.write( "HELP!\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Substitute 2Z - 22 for x in eq (i)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "6x + 5y +2z = 830\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "6(2z - 22) + 5y + 2z = 830\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "12z - 132 + 5y + 2z = 830\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "5y + 14z = 962 ---------- (iv)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Substitute 2Z - 22 for x in eq (ii)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "3x + 7y + 4z = 820\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "3(2z - 22) + 7y + 4z = 820\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "6z - 66 + 7y + 4z = 820\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "7y + 10z = 886 ---------- (v)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We now have 2 equations with 2 variables\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "5y + 14z = 962 ---------- (iv)\r<BR>\n" );
document.write( "\n" );
document.write( "7y + 10z = 886 ---------- (v)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "  35y + 98z =   6,734 ---------- (vi) ------ Multiplying eq (iv) by 7\r<BR>\n" );
document.write( "\n" );
document.write( "- 35y - 50z = - 4,430 ---------- (vii)------ Multiplying eq (v) by - 5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Add eq (vi) and (vii) to get:  48z = 2,304\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "z  =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2304%2F48 ALIGN=MIDDLE  ALT=\"2304%2F48\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2848%29 ALIGN=MIDDLE  ALT=\"highlight_green%2848%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Substitute 48 for z in eq (v): 7y + 10z = 886 ---------- 7y + 10(48) = 886\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "7y + 480 = 886\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "7y  =  406\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+406%2F7 ALIGN=MIDDLE  ALT=\"y+=+406%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2858%29 ALIGN=MIDDLE  ALT=\"highlight_green%2858%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Substitute 48 for z in any of the equations, but I chose eq (iii) since it's the simplest to substitute in to calculate the value of x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2z - 22 = x \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2(48) - 22 = x\r<BR>\n" );
document.write( "\n" );
document.write( "96 - 22 = x\r<BR>\n" );
document.write( "\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2874%29 ALIGN=MIDDLE  ALT=\"highlight_green%2874%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );