document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1158446>Question 1158446</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I need help on a linear equations word problem and when translating I got x+y=115, x+y=21, did I translate it right?\r<BR>\n" );
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document.write( "Translate to a system of equations and solve:<BR>\n" );
document.write( "The sum of two numbers is 115. The difference is 21. Find the numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #781393 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=781393\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=115 ALIGN=MIDDLE  ALT=\"x%2By=115\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........eq.1 <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=21 ALIGN=MIDDLE  ALT=\"x%2By=21\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........eq.2 \r<BR>\n" );
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document.write( "Translate to a system of equations and solve:\r<BR>\n" );
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document.write( "The sum of two numbers is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=115 ALIGN=MIDDLE  ALT=\"115\"   DISABLED_style= \"max-width:90%; height:auto;\" >. ->correct<BR>\n" );
document.write( "The difference is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21 ALIGN=MIDDLE  ALT=\"21\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  ->incorrect=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=21 ALIGN=MIDDLE  ALT=\"x%2By=21\"   DISABLED_style= \"max-width:90%; height:auto;\" > is also the sum of two numbers \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=115 ALIGN=MIDDLE  ALT=\"x%2By=115\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........eq.1 <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=21 ALIGN=MIDDLE  ALT=\"x%2By=21\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........eq.2<BR>\n" );
document.write( "----------------------------subtract eq.2 from eq.1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By-%28x%2By%29=115-21 ALIGN=MIDDLE  ALT=\"x%2By-%28x%2By%29=115-21\"   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%2By-x-y=94 ALIGN=MIDDLE  ALT=\"x%2By-x-y=94\"   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=0=94 ALIGN=MIDDLE  ALT=\"0=94\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> no solution exist (equations above represent two parallel lines)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+600%2C+-10%2C+125%2C+-10%2C+125%2C+115-x%2C21-x%29+ ALIGN=MIDDLE  ALT=\"+graph%28+600%2C+600%2C+-10%2C+125%2C+-10%2C+125%2C+115-x%2C21-x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "but, if you made mistake typing <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=21 ALIGN=MIDDLE  ALT=\"x%2By=21\"   DISABLED_style= \"max-width:90%; height:auto;\" > and if it is acctualy difference, then you have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y=21 ALIGN=MIDDLE  ALT=\"x-y=21\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........eq.2\r<BR>\n" );
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document.write( "and system is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=115 ALIGN=MIDDLE  ALT=\"x%2By=115\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........eq.1 <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y=21 ALIGN=MIDDLE  ALT=\"x-y=21\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........eq.2<BR>\n" );
document.write( "----------------------------subtract eq.2 from eq.1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By-%28x-y%29=115-21 ALIGN=MIDDLE  ALT=\"x%2By-%28x-y%29=115-21\"   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%2By-x%2By=94 ALIGN=MIDDLE  ALT=\"x%2By-x%2By=94\"   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=2y=94 ALIGN=MIDDLE  ALT=\"2y=94\"   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=y=47 ALIGN=MIDDLE  ALT=\"y=47\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "go to\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y=21 ALIGN=MIDDLE  ALT=\"x-y=21\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........eq.2, plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > value\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-47=21 ALIGN=MIDDLE  ALT=\"x-47=21\"   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=21%2B47 ALIGN=MIDDLE  ALT=\"x=21%2B47\"   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=68 ALIGN=MIDDLE  ALT=\"x=68\"   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=drawing%28+600%2C+600%2C+-10%2C+125%2C+-10%2C+125%2C%0D%0Acircle%2847%2C68%2C.5%29%2Clocate%2847%2C68%2Cp%2847%2C68%29%29%2C%0D%0A+graph%28+600%2C+600%2C+-10%2C+125%2C+-10%2C+125%2C+115-x%2C21%2Bx%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "check solution:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=115 ALIGN=MIDDLE  ALT=\"x%2By=115\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=68%2B47=115 ALIGN=MIDDLE  ALT=\"68%2B47=115\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=115=115 ALIGN=MIDDLE  ALT=\"115=115\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y=21 ALIGN=MIDDLE  ALT=\"x-y=21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=68-47=21 ALIGN=MIDDLE  ALT=\"68-47=21\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21=21 ALIGN=MIDDLE  ALT=\"21=21\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );