document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=141346>Question 141346</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2x^2 - 3xy +y^2 =14<BR>\n" );
document.write( "2x - y = 7\r<BR>\n" );
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document.write( "Please help having hard time solving this one. Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #102986 by </B><A HREF=/tutors/aboutme.mpl?userid=nabla><B>nabla(475)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nabla><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=102986\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> From the second equation, y=2x-7. Plug this in for y in the first equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-3x%282x-7%29%2B%282x-7%29%5E2=14 ALIGN=MIDDLE  ALT=\"2x%5E2-3x%282x-7%29%2B%282x-7%29%5E2=14\"   DISABLED_style= \"max-width:90%; height:auto;\" > <-- Substitution<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-6x%5E2%2B21x%2B4x%5E2-28x%2B49=14 ALIGN=MIDDLE  ALT=\"2x%5E2-6x%5E2%2B21x%2B4x%5E2-28x%2B49=14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><--- expand all terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7x%2B35=0 ALIGN=MIDDLE  ALT=\"-7x%2B35=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > <---combine,cancel<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5 ALIGN=MIDDLE  ALT=\"x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><--- solve\r<BR>\n" );
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document.write( "Now, plug this value for x in the second equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2%285%29-7=3 ALIGN=MIDDLE  ALT=\"y=2%285%29-7=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The solution set is (5,3).\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "2(25)-3(5)(3)+9=50-45+9=14\r<BR>\n" );
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document.write( "2(5)-3=7<BR>\n" );
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