document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1087718>Question 1087718</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5x-6y+4z=15<BR>\n" );
document.write( "7x+4y-3z=19<BR>\n" );
document.write( "2x+y+6z=46 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #702255 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=702255\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5x-6y+4z=15<BR>\n" );
document.write( "7x+4y-3z=19<BR>\n" );
document.write( "2x+y+6z=46<BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "Isolate the x in 5x-6y+4z = 15:<BR>\n" );
document.write( "5x=15+6y-4z<BR>\n" );
document.write( "Divide both sides by 5:<BR>\n" );
document.write( "x = (15+6y-4z)/5<BR>\n" );
document.write( "---------------------------------------------<BR>\n" );
document.write( "7x+4y-3z = 19 = 7((15+6y-4z)/5)+4y-3z=19<BR>\n" );
document.write( "2x+y+6z = 46 = 2((15+6y-4z)/5)+y+6z = 46<BR>\n" );
document.write( "----------------------------------------------<BR>\n" );
document.write( "Isolate the y in 7((15+6y-4z)/5)+4y-3z=19:<BR>\n" );
document.write( "7((15+6y-4z)/5)+4y-3z=19 rewrite:  [7(15+6y-4z)]/5+4y-3z = 19<BR>\n" );
document.write( "Multiply both sides times 5:<BR>\n" );
document.write( "7(15+6y-4z)+20y-15z=95<BR>\n" );
document.write( "105+42y-28z+20y-15z = 95<BR>\n" );
document.write( "-43z+62y+105 = 95<BR>\n" );
document.write( "62y+105 = 95+43z<BR>\n" );
document.write( "62y = 43z-10<BR>\n" );
document.write( "y = (43z-10)/62<BR>\n" );
document.write( "--------------------------------------------<BR>\n" );
document.write( "2((15+6(43z-10/62)-4z)/5)+(43z-10/62)+6z = 46<BR>\n" );
document.write( "LCM of 5 and 62 is 310:<BR>\n" );
document.write( "4(465+3(43z-10)-124z)+5(43z-10)+1860z=14260<BR>\n" );
document.write( "= 2095z+1690=14260<BR>\n" );
document.write( "= 2095z=12570<BR>\n" );
document.write( "z = 12570/2095 = 6<BR>\n" );
document.write( "----------------------------------------------------<BR>\n" );
document.write( "Now that we have z, let’s go back and find x and y:<BR>\n" );
document.write( "y = (43z-10)/62<BR>\n" );
document.write( "y = 43(6)-10/62 = 4<BR>\n" );
document.write( "x = (15+6y-4z)/5<BR>\n" );
document.write( "x= 15+6(4)-4(6)/5 = 3<BR>\n" );
document.write( "---------------------------------------<BR>\n" );
document.write( "So there you have it:<BR>\n" );
document.write( "x = 3<BR>\n" );
document.write( "y = 4<BR>\n" );
document.write( "z = 6<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );