document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=462633>Question 462633</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find three solutions to the system of equations\r<BR>\n" );
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document.write( "x+5y+3z=9<BR>\n" );
document.write( "2x+9y+7z=5\r<BR>\n" );
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document.write( "thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #317142 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=317142\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> From the first equation, x = 9 - 5y - 3z.<BR>\n" );
document.write( "Then by substitution, 2( 9 - 5y - 3z) + 9y +7z = 5\r<BR>\n" );
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document.write( "<==> 18 - 10y - 6z + 9y + 7z = 5, or\r<BR>\n" );
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document.write( "-y + z = -13, or y = z + 13.\r<BR>\n" );
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document.write( "==> x = 9 - 5(z + 13) - 3z = 9-  5z - 65 - 3z = -56 - 8z, or x = -8z - 56.\r<BR>\n" );
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document.write( "If z = 0, the solution is (-56, 13, 0)<BR>\n" );
document.write( "If z = 1, the solution is (-64, 14, 1)<BR>\n" );
document.write( "If z = -1, the solution is (-48, 12, -1). </SPAN>\n" );
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