document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=332481>Question 332481</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the linear system has the solution (a,b,2)\r<BR>\n" );
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document.write( "2x-y-z=-3<BR>\n" );
document.write( "x+2y-2z=-2<BR>\n" );
document.write( "x+ky+z=5\r<BR>\n" );
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document.write( "determine the values of a,b and k </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #238327 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=238327\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the linear system has the solution (a,b,2)<BR>\n" );
document.write( "2x - y - z = -3<BR>\n" );
document.write( " x +2y -2z =-2<BR>\n" );
document.write( " x +ky + z = 5<BR>\n" );
document.write( "determine the values of a,b and k<BR>\n" );
document.write( "rewrite each equation replacing z with 2,  replace x & y with a and b<BR>\n" );
document.write( "2a - b - 2 = -3<BR>\n" );
document.write( "2a - b = -3 + 2<BR>\n" );
document.write( "2a - b = -1<BR>\n" );
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document.write( "a + 2b - 2(2) = -2<BR>\n" );
document.write( "a + 2b = -2 + 4<BR>\n" );
document.write( "a + 2b = 2<BR>\n" );
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document.write( "a + bk + 2 = 5<BR>\n" );
document.write( "a + bk = 5 - 2<BR>\n" );
document.write( "a + bk = 3<BR>\n" );
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document.write( "Find b, multiply the 2nd equation by 2, subtract the 1st equation<BR>\n" );
document.write( "2a + 4b = 4<BR>\n" );
document.write( "2a - b = -1<BR>\n" );
document.write( "------------------eliminates a, find b<BR>\n" );
document.write( "5b = 5<BR>\n" );
document.write( "b = 1<BR>\n" );
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document.write( "Find a using, a + 2b = 2<BR>\n" );
document.write( "a + 2(1) = 2<BR>\n" );
document.write( "a = 2 - 2<BR>\n" );
document.write( "a = 0<BR>\n" );
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document.write( "Find k using the 3rd equation<BR>\n" );
document.write( "a + bk = 3<BR>\n" );
document.write( "0 + 1k = 3<BR>\n" );
document.write( "k = 3<BR>\n" );
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document.write( "Summarize: a=0, b=1, k=3<BR>\n" );
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document.write( "You can confirm these solutions in the original equations </SPAN>\n" );
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