document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1088206>Question 1088206</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2k+1,5k-3,7k-2 find the value of k and 17th terms </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #702467 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=702467\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a(1) = 2k +1<BR>\n" );
document.write( "a(2) = 2k+1 +d<BR>\n" );
document.write( "a(3) = 2k+1 +2d<BR>\n" );
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document.write( "5k-3 = 2k+1 +d<BR>\n" );
document.write( "1) 3k-d = 4<BR>\n" );
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document.write( "7k-2 = 2k+1 +2d<BR>\n" );
document.write( "2) 5k-2d = 3<BR>\n" );
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document.write( "equations 1) and 2) are 2 equations in 2 unknowns - we can solve them by substitution<BR>\n" );
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document.write( "solve equation 1 for d<BR>\n" );
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document.write( "3) d = 3k-4<BR>\n" );
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document.write( "substitute for d in equation 2<BR>\n" );
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document.write( "5k -2(3k-4) = 3<BR>\n" );
document.write( "5k -6k+8 = 3<BR>\n" );
document.write( "k = 5<BR>\n" );
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document.write( "a(1) = 2(5) + 1 = 11<BR>\n" );
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document.write( "use equation 3) to solve for d<BR>\n" );
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document.write( "d = 3(5)-4 = 11<BR>\n" );
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document.write( "k = 5<BR>\n" );
document.write( "a(17) = 11 + 11(17-1) = 187<BR>\n" );
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