document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62298>Question 62298</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618050515/algebrahomeworkh>Algebra 1: Concepts and Skills</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Can you explain what it means to solve a linear system using the graph-and-check method? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43054 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=43054\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You can graph both lines.  The solution is their point of intersection.  You have to use graph paper and a ruler if you want to be accurate by hand.  If you are allowed to use a graphing utility, such as a ti-graphing calculator.  You can solve both equations for y, plug them into [y=] for Y1 and Y2, then hit [2nd] [trace] [5] [ENTER][ENTER][ENTER] and the soltuion will appear at the bottom of the screne if the point of intersection is visible.<BR>\n" );
document.write( "There are two special cases:<BR>\n" );
document.write( "1.  If you graph the two lines and one line is lying right on top of the other, the lines have all points in common and it has infinitely many solutions.<BR>\n" );
document.write( "2.  If you graph two lines and they are parallel to each other, they will never intersect, thus the system is inconstitent and has no solution.<BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
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