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" );
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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" );
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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 #809185 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</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=809185\">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\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<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">You multiplied eqs (i) and (iii) to get eq (iv). You also subtracted eq (iii) from eq (i) to get eq (v). They're BOTH the same <BR>\n" );
document.write( "equation, so that's why you ended up with equations that're the same, and ultimately, infinitely many solutions; but, that's INCORRECT.<BR>\n" );
document.write( "You probably multiplied eq (i) by 2, and eq (ii) by 5, or any other combination to get eqs in x and z, and from thereon to solve<BR>\n" );
document.write( "for x, y, and z. That's how you got the correct answer, which by the way should be: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28system%28matrix%282%2C3%2C+x%2C+%22=%22%2C+1%2C+y%2C+%22=%22%2C+3%29%2C+and%2C+matrix%281%2C3%2C+z%2C+%22=%22%2C+-+2%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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