document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=24316>Question 24316</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 9x+6y=14<BR>\n" );
document.write( "3x+2y=11<BR>\n" );
document.write( "Solve for x and y\r<BR>\n" );
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document.write( "I know that you have to use substitution but i keep getting answers like,<BR>\n" );
document.write( "9x+66-9x=14 so it is going to turn out with your x's turning into a zero and you come out with 0=52 and that is obviousley not true...PLEASE HELP ASAP I have been working on this for at least an hour\r<BR>\n" );
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document.write( "i looked for examples similiar to this problem but i could'nt find any<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #853897 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13326)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=853897\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "You say you are ending up with an equation that says something like \"0=52\".<br><BR>\n" );
document.write( "You are probably doing the algebra correctly; now you just need to learn what that result means.<br><BR>\n" );
document.write( "As you say, \"0=52\" is not true; that equation has no solutions.  Assuming you did the algebra correctly, that means the original pair of equations has no solution.<br><BR>\n" );
document.write( "When you are first learning algebra, it is important that you recognize this kind of result and understand what it means.<br><BR>\n" );
document.write( "An experienced student can look at this pair of equations and see that the \"9x+6y\" in the first equation is just 3 times the \"3x+2y\" in the second equation.  If you see that, then you can multiply the second equation by 3, making the pair of equations<br><BR>\n" );
document.write( "9x+6y=14<BR>\n" );
document.write( "9x+6y=-33<br><BR>\n" );
document.write( "The expressions on the left are identical, so the expressions on the right should be identical.  Since they are not, the system of equations has no solution.<br><BR>\n" );
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