document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=44735>Question 44735</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0201755262/algebrahomeworkh>College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Solve each system by substitution.  Determine whether each system is independent, inconsistent, or dependent.\r<BR>\n" );
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document.write( "5x -6y = 32<BR>\n" );
document.write( "x = 6 - 3y </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #29609 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=29609\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since the second one is already solved for x, we can substitute its value into the other equation. so from<BR>\n" );
document.write( "5x - 6y = 32<BR>\n" );
document.write( "x = 6 - 3y<BR>\n" );
document.write( "we get<BR>\n" );
document.write( "5(6 - 3y) - 6y = 32<BR>\n" );
document.write( "30 - 15y - 6y = 32<BR>\n" );
document.write( "-21y = 2<BR>\n" );
document.write( "y = -2/21<BR>\n" );
document.write( "then plug that back into equation two and get<BR>\n" );
document.write( "x = 6 - 3y<BR>\n" );
document.write( "x = 6 - 3(-2/21)<BR>\n" );
document.write( "x = 6 + 6/21<BR>\n" );
document.write( "x = 6 + 2/7<BR>\n" );
document.write( "x = 6 2/7 or 44/7<BR>\n" );
document.write( "Whenever you get one distinct solution, like we have here, (44/7, -2/21), we have a consistent and independent system... </SPAN>\n" );
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