document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=449476>Question 449476</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system of equations by graphing. Then classify system.<BR>\n" );
document.write( "6x-7y=14<BR>\n" );
document.write( "7y-6x=-14\r<BR>\n" );
document.write( "\n" );
document.write( "What is the solution of the system? If necessary,complete your choice.<BR>\n" );
document.write( "A. The solution is ____?<BR>\n" );
document.write( "b. There are infinitely many solutions.<BR>\n" );
document.write( "C. There is no solution.\r<BR>\n" );
document.write( "\n" );
document.write( "Is the system consistent or inconsistent?\r<BR>\n" );
document.write( "\n" );
document.write( "Are the equations dependent or independent? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #309187 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=309187\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "\n" );
document.write( "7y=6x-14<BR>\n" );
document.write( "7y=6x-14\r<BR>\n" );
document.write( "\n" );
document.write( "They have same slope and same y intercept.  it is clear that the two equations  coincide with each other. \r<BR>\n" );
document.write( "\n" );
document.write( "All the points on the line are the solutions to both the equations. So, the system of equations has infinite number of solutions. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So, the system of equations is consistent and the equations are dependent.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );