document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=902317>Question 902317</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My question is find what x and y is. <BR>\n" );
document.write( "The equations are:<BR>\n" );
document.write( "x - y = 5<BR>\n" );
document.write( "   and<BR>\n" );
document.write( "x * y = 8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #547225 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=547225\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  \r<BR>\n" );
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document.write( "here you have system to solve; you can do it by substitution, by elimination, or by graphing\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+y+=+5 ALIGN=MIDDLE  ALT=\"x+-+y+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >............eq.1\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2A+y+=+8 ALIGN=MIDDLE  ALT=\"x+%2A+y+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........eq.2<BR>\n" );
document.write( "________________________________________let's use substitution\r<BR>\n" );
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document.write( "start with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+y+=+5 ALIGN=MIDDLE  ALT=\"x+-+y+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >............eq.1 and solve it for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+5+=+y ALIGN=MIDDLE  ALT=\"x+-+5+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" >............substitute in eq.2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2A+%28x-5%29+=+8 ALIGN=MIDDLE  ALT=\"x+%2A+%28x-5%29+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > ..........solve it for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-5x+=+8 ALIGN=MIDDLE  ALT=\"x%5E2-5x+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-5x+-8=0 ALIGN=MIDDLE  ALT=\"x%5E2-5x+-8=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >....use quadratic formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-+%28-5%29+%2B-+sqrt%28+%28-5%29%5E2-4%2A1%2A+%28-8%29%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-+%28-5%29+%2B-+sqrt%28+%28-5%29%5E2-4%2A1%2A+%28-8%29%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%285+%2B-+sqrt%28+25%2B32%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%285+%2B-+sqrt%28+25%2B32%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%285+%2B-+sqrt%28+57%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%285+%2B-+sqrt%28+57%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%285+%2B-+7.6%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%285+%2B-+7.6%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "solutions:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%285+%2B+7.6%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%285+%2B+7.6%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+12.6%2F2+ ALIGN=MIDDLE  ALT=\"x+=+12.6%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+6.3+ ALIGN=MIDDLE  ALT=\"x+=+6.3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%285+-+7.6%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%285+-+7.6%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-2.6%2F2+ ALIGN=MIDDLE  ALT=\"x+=+-2.6%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-1.3+ ALIGN=MIDDLE  ALT=\"x+=+-1.3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+y+=+5 ALIGN=MIDDLE  ALT=\"x+-+y+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >............eq.1...if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+6.3+ ALIGN=MIDDLE  ALT=\"x+=+6.3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6.3+-+5+=+y ALIGN=MIDDLE  ALT=\"6.3+-+5+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.3+=+y ALIGN=MIDDLE  ALT=\"1.3+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+y+=+5 ALIGN=MIDDLE  ALT=\"x+-+y+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >............eq.1...if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-1.3+ ALIGN=MIDDLE  ALT=\"x+=+-1.3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1.3+-+5+=+y ALIGN=MIDDLE  ALT=\"-1.3+-+5+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6.3+=+y ALIGN=MIDDLE  ALT=\"-6.3+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "so, one pair of solutions is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+6.3+ ALIGN=MIDDLE  ALT=\"x+=+6.3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.3+=+y ALIGN=MIDDLE  ALT=\"1.3+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "the other is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-1.3+ ALIGN=MIDDLE  ALT=\"x+=+-1.3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6.3+=+y ALIGN=MIDDLE  ALT=\"-6.3+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<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/plot-formula.mpl?expression=x+%2A+y+=+8 ALIGN=MIDDLE  ALT=\"x+%2A+y+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > ..........eq.2..plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+6.3+ ALIGN=MIDDLE  ALT=\"x+=+6.3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.3+=+y ALIGN=MIDDLE  ALT=\"1.3+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6.3+%2A+1.3+=+8 ALIGN=MIDDLE  ALT=\"6.3+%2A+1.3+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8.19+=+8 ALIGN=MIDDLE  ALT=\"8.19+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...round to whole number\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8=+8 ALIGN=MIDDLE  ALT=\"8=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2A+y+=+8 ALIGN=MIDDLE  ALT=\"x+%2A+y+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > ..........eq.2..plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-6.3+ ALIGN=MIDDLE  ALT=\"y+=+-6.3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1.3+=+x ALIGN=MIDDLE  ALT=\"-1.3+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1.3+%2A+%28-6.3%29+=+8 ALIGN=MIDDLE  ALT=\"-1.3+%2A+%28-6.3%29+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8.19+=+8 ALIGN=MIDDLE  ALT=\"8.19+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...round to whole number\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8=+8 ALIGN=MIDDLE  ALT=\"8=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );