document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=191319>Question 191319</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the value of X and Y thats sloves both systems:<BR>\n" );
document.write( "5&#8730;X - 2&#8730;y = 4&#8730;2<BR>\n" );
document.write( "2&#8730;X + 3&#8730;y = 13&#8730;2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #143590 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=143590\">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( "Please be careful with your terminology.  You have two equations, but together they only make one system.  You can't solve either of the the equations individually, you can only solve the system.\r<BR>\n" );
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document.write( "First a word about method.  Either substitution or elimination works, but having done it both ways for this problem, elimination is far simpler.\r<BR>\n" );
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document.write( "<i><b>1</b></i>  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 5\sqrt{x} - 2\sqrt{y} = 4\sqrt{2}\">\r<BR>\n" );
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document.write( "<i><b>2</b></i>  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 2\sqrt{x} + 3\sqrt{y} = 13\sqrt{2}\"> \r<BR>\n" );
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document.write( "Multiply equation 1 by 2 and equation 2 by -5:\r<BR>\n" );
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document.write( "<i><b>3</b></i>  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 10\sqrt{x} - 4\sqrt{y} = 8\sqrt{2}\">\r<BR>\n" );
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document.write( "<i><b>4</b></i>  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ -10\sqrt{x} - 15\sqrt{y} = -65\sqrt{2}\"> \r<BR>\n" );
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document.write( "Add Equation 3 to Equation 4:\r<BR>\n" );
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document.write( "<i><b>5</b></i>  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 0\sqrt{x} - 19\sqrt{y} = -57\sqrt{2}\">\r<BR>\n" );
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document.write( "Divide by -19\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \sqrt{y} = 3\sqrt{2}\">\r<BR>\n" );
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document.write( "Square both sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y = 9*2 = 18\">\r<BR>\n" );
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document.write( "Substitute this value into either equation 1 or 2, then solve for x:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 5\sqrt{x} - 2\sqrt{18} = 4\sqrt{2}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 5\sqrt{x} - 2\sqrt{9*2} = 4\sqrt{2}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 5\sqrt{x} - 6\sqrt{2} = 4\sqrt{2}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 5\sqrt{x} = 10\sqrt{2}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \sqrt{x} = 2\sqrt{2}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x = 8\">\r<BR>\n" );
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document.write( "Checking the answers is left as an exercise for the student.\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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