document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=98973>Question 98973</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0495188891/algebrahomeworkh>Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system of equations using the addition (elimination) method.<BR>\n" );
document.write( "If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.”<BR>\n" );
document.write( "2x – 7y = 3<BR>\n" );
document.write( "-4x + 14y = -9<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #72025 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=72025\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1st:  2x – 7y = 3<BR>\n" );
document.write( "2nd: -4x + 14y = -9<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Multiply 1st by 2 to get:<BR>\n" );
document.write( "3rd: 4x -14y = 6<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Add 2nd and 3rd to get:<BR>\n" );
document.write( "0 = -3<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "This contrdiction occured because we assumed the \"x\" and the \"y\"<BR>\n" );
document.write( "in the two equations represented,respectively, the same number.<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "The \"x\" in one equation is not the same as the \"x\" in the other;<BR>\n" );
document.write( "same with the \"y\" variable.  Therefore the system is said to be<BR>\n" );
document.write( "\"inconsistent\".  The graphs of the two equations are parallel.<BR>\n" );
document.write( "There is no solution for the system of equations.<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );