document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=291089>Question 291089</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve by the elimination method.<BR>\n" );
document.write( "3x-9y=3<BR>\n" );
document.write( "2x-9y=4<BR>\n" );
document.write( "WHat is the solution to the system? <BR>\n" );
document.write( "A) The solution is ___( type an ordered pair. Use integers or fractions for any numbers in the expression)<BR>\n" );
document.write( "B) There are infinitely many solutions.<BR>\n" );
document.write( "c) There is no solution </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #210611 by </B><A HREF=/tutors/aboutme.mpl?userid=brucewill><B>brucewill(101)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=brucewill><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=210611\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> By \"elimination\", we mean eliminate one variable, and then solve for the other.\r<BR>\n" );
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document.write( "In the case, we can simply subtract the second statement from the first producing:  x = -1.\r<BR>\n" );
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document.write( "Now, we can substitute the -1 into either equation.  I'll choose the first:<BR>\n" );
document.write( "-3 -9y = 3<BR>\n" );
document.write( "-9y = 6<BR>\n" );
document.write( "y = -(2/3).\r<BR>\n" );
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document.write( "The answer then is (-1, -2/3)\r<BR>\n" );
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document.write( "You can substitute for x & y back into the original equations:\r<BR>\n" );
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document.write( "3(-1) - 9(-2/3) = 3, -3 + 6 = 3, 3 = 3.  OK<BR>\n" );
document.write( "2(-1) - 9(-2/3) = 4, -2 + 6 = 4; 4 = 4.  OK.<BR>\n" );
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