document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=415675>Question 415675</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve by using the elimination method:<BR>\n" );
document.write( "5x + 6y=5<BR>\n" );
document.write( "10x + 12y=10 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #291348 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=291348\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> multiply the first equation by 2 to get:\r<BR>\n" );
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document.write( "10x + 12y = 10\r<BR>\n" );
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document.write( "your 2 equations are now:\r<BR>\n" );
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document.write( "10x + 12y = 10<BR>\n" );
document.write( "10x + 12y = 10\r<BR>\n" );
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document.write( "subtract second equation from first to get:\r<BR>\n" );
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document.write( "0 + 0 = 0\r<BR>\n" );
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document.write( "since the equation is true, and all variables have canceled out, the 2 equations are identities meaning that they are really the same equation.\r<BR>\n" );
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document.write( "if you graphed both these equations, they would show up as being the same line.\r<BR>\n" );
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document.write( "take 5x + 6y = 5 and solve for y to get y = -(5/6)x + (5/6)\r<BR>\n" );
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document.write( "take 10x + 12y = 10 and solve for y to get y = (10/12)x + (10/12)\r<BR>\n" );
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document.write( "simplify the second equation to get y = (5/6)x + (5/6)\r<BR>\n" );
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document.write( "same equation will graph as the same line.\r<BR>\n" );
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document.write( "the equations are identical.\r<BR>\n" );
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document.write( "just to s how you, i will graph the 2 equations of y = (5/6)x + (5/6) and y = (10/12)x + (10/12)\r<BR>\n" );
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document.write( "see below:\r<BR>\n" );
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document.write( "both equations are identical so the graph of both of these equations looks like the same line.\r<BR>\n" );
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