document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1062040>Question 1062040</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the answer oh this given 2x+y=10 2x+3y=6? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #676804 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=676804\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have two equations and two unknowns.  As long as they're linearly independent (i.e. not exact multiples of one another) there should be a solution:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+%2B+y+=+10+ ALIGN=MIDDLE  ALT=\"+2x+%2B+y+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+%2B+3y+=+6+ ALIGN=MIDDLE  ALT=\"+2x+%2B+3y+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" >   (2)\r<BR>\n" );
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document.write( "Subtract (2) from (1), to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0x+-+2y+=+4+ ALIGN=MIDDLE  ALT=\"+0x+-+2y+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++++++++++y+=+4%2F%28-2%29+=+-2+ ALIGN=MIDDLE  ALT=\"++++++++++y+=+4%2F%28-2%29+=+-2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++y=-2+ ALIGN=MIDDLE  ALT=\"++y=-2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > — using (1) —>  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+-+2+=+10+ ALIGN=MIDDLE  ALT=\"+2x+-+2+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+6+ ALIGN=MIDDLE  ALT=\"+x+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Ans:  x=6, y=-2<BR>\n" );
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document.write( "Check (using (2), we already used (1) to find x):<BR>\n" );
document.write( "             2(6) + 3(-2) = 12 - 6 = 6  (ok)<BR>\n" );
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