document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=59972>Question 59972</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078213479/algebrahomeworkh>Alegbra Concepts and Applications</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please help I'm stuck!\r<BR>\n" );
document.write( "\n" );
document.write( "State whether the system is consistent and independent, consistent and dependent or inconsistent.\r<BR>\n" );
document.write( "\n" );
document.write( "2x - y = -7\r<BR>\n" );
document.write( "\n" );
document.write( "x + y = 4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #41185 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=41185\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "State whether the system is consistent and independent, consistent and dependent or inconsistent.\r<BR>\n" );
document.write( "\n" );
document.write( "E1: 2x - y = -7\r<BR>\n" );
document.write( "\n" );
document.write( "E2:  x + y = 4<BR>\n" );
document.write( "If the system is solvable then it is consistent and independent.  If you add these two equations together only the y is eliminated so this is solvable, consistent and independent.  Graphically the lines intersect at one point and tehrefore the system has one solution.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "If you go to eliminate one variable and both are eliminated, then there is one of two options, either you get 0=0 which is consistent and dependent.  Graphically they are the same line and share all points. (infinite solutions).  Or you get two numbers that aren't = like 1=-1, which is inconsitent.  Graphically, they are parallel lines that will never intersect. (no solution).<BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );