document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=515358>Question 515358</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the difference between two numbers is three, two times the first number plus the second number is 3, solve by graphing </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #343933 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=343933\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x -y = 3<BR>\n" );
document.write( "so<BR>\n" );
document.write( "x = y+3<BR>\n" );
document.write( "and<BR>\n" );
document.write( "y = x-3<BR>\n" );
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document.write( "2x + y = 3<BR>\n" );
document.write( "so<BR>\n" );
document.write( "y = -2x +3<BR>\n" );
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document.write( "So, we have two linear equations.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28500%2C500%2C-5%2C5%2C-5%2C5%2Cx-3%2C-2%2Ax%2B3%29+ ALIGN=MIDDLE  ALT=\"+graph%28500%2C500%2C-5%2C5%2C-5%2C5%2Cx-3%2C-2%2Ax%2B3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The intercept is (2,-1).<BR>\n" );
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document.write( "Check to ensure this is the solution for both equations.<BR>\n" );
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document.write( "y = x-3<BR>\n" );
document.write( "y = 2-3<BR>\n" );
document.write( "y = -1<BR>\n" );
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document.write( "y = -2(2) +3<BR>\n" );
document.write( "y = -4 +3<BR>\n" );
document.write( "y = -1<BR>\n" );
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document.write( "You also could set the two equations equal to one another.\r<BR>\n" );
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document.write( "x-3 = -2x +3<BR>\n" );
document.write( "3x -3 = 3<BR>\n" );
document.write( "3x = 6<BR>\n" );
document.write( "x = 2<BR>\n" );
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document.write( "Substitute x=2 into either equation to find 'y'<BR>\n" );
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document.write( "2-3 = -1<BR>\n" );
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document.write( "Of course you could solve by adding the equations:<BR>\n" );
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document.write( "x -y = 3<BR>\n" );
document.write( "2x + y = 3<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "3x = 6<BR>\n" );
document.write( "x = 2<BR>\n" );
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document.write( "And substitute to find 'y'<BR>\n" );
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document.write( "Done. </SPAN>\n" );
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