document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1094887>Question 1094887</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine whether the ordered triples listed are solutions of the system of linear equations.\r<BR>\n" );
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document.write( "x + y + 2z = -4<BR>\n" );
document.write( "-4x + 5y + z = -2<BR>\n" );
document.write( "4x - 3y + 4z = 7\r<BR>\n" );
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document.write( "Is the ordered triple (-4, -6, 3) a solution to the system?\r<BR>\n" );
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document.write( "Is the ordered triple (-5, -5, 3) a solution to the system? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #709512 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=709512\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br>To be a solution to the system of equations, the values in the ordered triple must satisfy all three equations.<br><BR>\n" );
document.write( "The numbers in the first ordered triple satisfy the first equation, but not the second; so we don't need to check the third.<br><BR>\n" );
document.write( "The numbers in the second ordered triple don't even satisfy the first equation, so we don't need to check further.<br><BR>\n" );
document.write( "Neither of the ordered triples is a solution to the system of equations. </SPAN>\n" );
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