document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=21350>Question 21350</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system of equations using either the substitution or the elimination method. If there is a unique solution present it as an ordered Pair adn show the check of your solution. If there is no unique solution state why and show how you determined your answer. x = 6-3y and 2x +6y=12 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #10264 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=10264\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the system of equations using either the substitution or the elimination method. If there is a unique solution present it as an ordered Pair adn show the check of your solution. If there is no unique solution state why and show how you determined your answer. x = 6-3y and 2x +6y=12<BR>\n" );
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document.write( "X=6-3Y..OR....X+3Y=6.................I<BR>\n" );
document.write( "2X+6Y=12................................II<BR>\n" );
document.write( "II/2...GIVES US .......X+3Y=6..................III<BR>\n" );
document.write( "WE FIND THE 2 EQUATIONS GIVEN ARE SAME OR LINEARLY DEPENDENT..ONE IS OBTAINED BY MULTIPLYING WITH 2 THE OTHER....SO WE HAVE IN EFFECT GOT ONLY ONE INDEPENDENT EQN.WITH 2 UNKNOWNS WHICH GIVES RAISE TO INFINITE SOLUTIONS....<BR>\n" );
document.write( "FOR EXAMPLE IF WE PUT X=0 WE GET Y =2..WE CAN TABULATE AS BELOW...<BR>\n" );
document.write( "X...0.....3.......6.......ETC.....<BR>\n" );
document.write( "Y...2.....1.......0........ETC.....<BR>\n" );
document.write( "PLEASE NOTE..... THOUGH THERE ARE INFINITE SOLUTIONS IT DOES NOT MEAN ALL OR ANY VALUE OF X AND Y ..A SET OF VALUES FOR X AND Y ONLY ARE CORRECT THOUGH THEY ARE INFINITE IN NUMBER THEY DO NOT REPRESENT ALL OR EVERY VALUE...<BR>\n" );
document.write( "TO SHOW YOU THE DIFFERENCE THE IDENTITY........... <BR>\n" );
document.write( "(X+Y)^2=X^2+Y^2+2XY....IS AN IDENTITY WHICH IS AGAIN TRUE FOR INFINITE VALUES OF X AND Y BUT THIS TIME FOR ANY ND EVERY VALUE OF X AND Y...HENCE IT IS CALLED AN IDENTITY OR CONGRUENCE , WHERE AS YOUR PROBLEM IS AN EQUALITY NOT AN IDENTITY...<BR>\n" );
document.write( "I WENT BEYOND YOUR QUESTION TO POINT OUT THE DIFFERENCE BETWEEN AN EUATION AND IDENTITY AND THE FACT THAT INFINITY DOES NOT MEAN EVERY THING. </SPAN>\n" );
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