document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=633345>Question 633345</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If you were to use the substitution method to solve the following system, choose the new system of equations that would result if x was isolated in the second equation.\r<BR>\n" );
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document.write( "3x + y + 2z = 1<BR>\n" );
document.write( "x + 2y – z = –8<BR>\n" );
document.write( "3x – y – 3z = 18 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #398841 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=398841\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3x + y + 2z = 1...............(1)<BR>\n" );
document.write( "x + 2y – z = –8...............(2)<BR>\n" );
document.write( "3x – y – 3z = 18..............(3)\r<BR>\n" );
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document.write( "Take (2)<BR>\n" );
document.write( "x + 2y – z = –8<BR>\n" );
document.write( "x=z-2y-8......................(4)<BR>\n" );
document.write( "Substitute the value of  x in (1)<BR>\n" );
document.write( "3x + y + 2z = 1...............(1)<BR>\n" );
document.write( "3(z-2y-8) + y + 2z = 1<BR>\n" );
document.write( "3z-6y-24+y+2z=1<BR>\n" );
document.write( "-5y+5z-24=1<BR>\n" );
document.write( "-5y+5z=1+24<BR>\n" );
document.write( "-5y+5z=25<BR>\n" );
document.write( "5(-y+z)=25<BR>\n" );
document.write( "5(-y+z)/5=25/5<BR>\n" );
document.write( "-y+z=5........................(5)<BR>\n" );
document.write( "Substitute the value of  x in (3)<BR>\n" );
document.write( "3x – y – 3z = 18..............(3)<BR>\n" );
document.write( "3(z-2y-8)-y-3z=18<BR>\n" );
document.write( "3z-6y-24-y-3z=18<BR>\n" );
document.write( "3z-3z-6y-y=18+24<BR>\n" );
document.write( "-7y=42<BR>\n" );
document.write( "-7y/-7=42/-7<BR>\n" );
document.write( "y=-6<BR>\n" );
document.write( "Put the value of y in (5)<BR>\n" );
document.write( "-y+z=5........................(5)<BR>\n" );
document.write( "-(-6)+z=5<BR>\n" );
document.write( "6+z=5<BR>\n" );
document.write( "z=5-6<BR>\n" );
document.write( "z=-1<BR>\n" );
document.write( "Put the value of y and z in (4)<BR>\n" );
document.write( "x=z-2y-8......................(4)<BR>\n" );
document.write( "x=-1-2(-6)-8<BR>\n" );
document.write( "x=-1+12-8<BR>\n" );
document.write( "x=12-9<BR>\n" );
document.write( "x=3\r<BR>\n" );
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document.write( "x,y,z=3,-6,-1\r<BR>\n" );
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document.write( "Check<BR>\n" );
document.write( "=====<BR>\n" );
document.write( "Put the value of x,y,z in (1)<BR>\n" );
document.write( "3x + y + 2z = 1...............(1)<BR>\n" );
document.write( "3(3)+(-6)+2(-1)=1<BR>\n" );
document.write( "9-6-2=1<BR>\n" );
document.write( "9-8=1<BR>\n" );
document.write( "1=1<BR>\n" );
document.write( "Put the value of x,y,z in (2)<BR>\n" );
document.write( "x + 2y – z = –8...............(2)<BR>\n" );
document.write( "3+2(-6)-(-1)=-8<BR>\n" );
document.write( "3-12+1=-8<BR>\n" );
document.write( "4-12=-8<BR>\n" );
document.write( "-8=-8<BR>\n" );
document.write( "Put the value of x,y,z in (3)<BR>\n" );
document.write( "3x – y – 3z = 18..............(3)<BR>\n" );
document.write( "3(3)-(-6)-3(-1)=18<BR>\n" );
document.write( "9+6+3=18<BR>\n" );
document.write( "18=18 </SPAN>\n" );
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