document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179614>Question 1179614</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Is it possible to get infinitely many solutions and an x, y, and z value for the following problem. Solve the system of equations using elimination.<BR>\n" );
document.write( "a. -4x+5y-3z=17<BR>\n" );
document.write( "b. -3x-2y-4z=-1<BR>\n" );
document.write( "c. 5x+5y+4z=12\r<BR>\n" );
document.write( "\n" );
document.write( "a*-2= 8x-10y+6z=-34<BR>\n" );
document.write( "c*2= 10x+10y+8z=24<BR>\n" );
document.write( "equation d: 18x+14z=-10\r<BR>\n" );
document.write( "\n" );
document.write( "-4x+5y-3z=17<BR>\n" );
document.write( "-5x-5y-4z=-12<BR>\n" );
document.write( "equation e: -9x-7z=5\r<BR>\n" );
document.write( "\n" );
document.write( "e*2 -18x-14z=10<BR>\n" );
document.write( "  d 18x+14z=-10<BR>\n" );
document.write( "result 0=0 infinitely many \r<BR>\n" );
document.write( "\n" );
document.write( "I solved another way and got x=1, x=3, and x=-2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #809176 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=809176\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Is it possible to get infinitely many solutions and an x, y, and z value for the following problem. Solve the system of equations using elimination.<BR>\n" );
document.write( "a. -4x+5y-3z=17<BR>\n" );
document.write( "b. -3x-2y-4z=-1<BR>\n" );
document.write( "c. 5x+5y+4z=12<BR>\n" );
document.write( "a*-2= 8x-10y+6z=-34<BR>\n" );
document.write( "c*2= 10x+10y+8z=24<BR>\n" );
document.write( "equation d: 18x+14z=-10<BR>\n" );
document.write( "-4x+5y-3z=17<BR>\n" );
document.write( "-5x-5y-4z=-12<BR>\n" );
document.write( "equation e: -9x-7z=5<BR>\n" );
document.write( "e*2 -18x-14z=10<BR>\n" );
document.write( "d 18x+14z=-10<BR>\n" );
document.write( "result 0=0 infinitely many<BR>\n" );
document.write( "I solved another way and got x=1, x=3, and x=-2<BR>\n" );
document.write( "Assuming you meant x, y, and z:<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "Sub your numbers and see if they work.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "a. -4x+5y-3z=17<BR>\n" );
document.write( "-4*1 + 5*3 - 3*-2 = -4 + 15 + 6 = 17<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "b. -3x-2y-4z=-1<BR>\n" );
document.write( "-3*1 -2*3 - 4*-2 = -3 -6 +8 = -1 <BR>\n" );
document.write( "c. 5x+5y+4z=12<BR>\n" );
document.write( "5*1 + 5*3 + 4*-2 = 5 + 15 - 8 = 12<BR>\n" );
document.write( "=========================================<BR>\n" );
document.write( "Your solution is correct, so there is a unique solution to the system.<BR>\n" );
document.write( "It's not possible to get an infinite # of solutions.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );