document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=190977>Question 190977</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, was wondering if anyone could help me with the following system of equations problem. Steps on how to solve fully would be ideal also.\r<BR>\n" );
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document.write( "A-B+C=1<BR>\n" );
document.write( "2A-2B=0<BR>\n" );
document.write( "3A+B-3C=2\r<BR>\n" );
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document.write( "Any help would be most appreciated, <BR>\n" );
document.write( "-Thanks, -Nick. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #143385 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=143385\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ a - b + c = 1\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 2a - 2b = 0\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 3a + b - 3c = 2\">\r<BR>\n" );
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document.write( "Look at the middle equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 2a - 2b = 0 \ \ \Rightarrow\ \ 2a = 2b \ \ \Rightarrow\ \ a = b\">\r<BR>\n" );
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document.write( "Now use that fact in the first equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ a - b + c = 1\text{ and }a = b  \ \ \Rightarrow\ \ 0 + c = 1  \ \ \Rightarrow\ \ c = 1\">\r<BR>\n" );
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document.write( "Use this information in the last equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 3a + b - 3c = 2 \ \ \Rightarrow\ \ 3a + a - 3(1) = 2  \ \ \Rightarrow\ \ 4a = 5  \ \ \Rightarrow\ \ a = \frac{5}{4}  \ \ \Rightarrow\ \ b = \frac{5}{4} \">\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{5}{4} - \frac{5}{4} + 1 = 1\">, yep\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 2\,\cdot\,\frac{5}{4} - 2\,\cdot\,\frac{5}{4} = 0\">, yep\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 3\,\cdot\,\frac{5}{4} + \frac{5}{4} - 3(1) = \frac{15}{4}+\frac{5}{4} - 3 = \frac{20}{4} - 3 = 5 - 3 = 2\">, yep\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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document.write( " </SPAN>\n" );
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