document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=88377>Question 88377</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help solving by substitution <BR>\n" );
document.write( "6y=21-3x<BR>\n" );
document.write( "x+2y=5<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #64190 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley75><B>checkley75(3666)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley75><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=64190\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> X+2Y=5 OR X=5-2Y NOW WE SUBSTITUTE (5-2Y) FOR X IN THE OTHER EQUATION & SOLVE FOR Y.<BR>\n" );
document.write( "6Y=21-3(5-2Y)<BR>\n" );
document.write( "6Y=21-15+6Y<BR>\n" );
document.write( "6Y-6Y=6<BR>\n" );
document.write( "0=6 THUS THERE ARE NO SOLUTIONS TO THESE TWO EQUATIONS.<BR>\n" );
document.write( "PROOF<BR>\n" );
document.write( "WE'LL CONVERT THESE TWO EQUATIONS TO THE LINE FORMULA & PLOT TO SEE IF THEY INTERSECT.<BR>\n" );
document.write( "6Y=21-3X OR 6Y=-3X+21 OR Y=-3X/6+21/6 OR Y=-X/2+3.5 (RED LINE)<BR>\n" );
document.write( "X+2Y=5 OR 2Y=-X+5 OR Y=-X/2+5/2 OR Y=-X/2+2.5 (GREEN LINE)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+-x%2F2+%2B3.5%2C+y+=+-x%2F2+%2B2.5%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+-x%2F2+%2B3.5%2C+y+=+-x%2F2+%2B2.5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = -x/2 +3.5 and y = -x/2 +2.5).  </SPAN>\n" );
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