document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1092356>Question 1092356</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3x-y=-6<BR>\n" );
document.write( "2x+3y=7 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #706964 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=706964\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br>When both equations are given to you in the form Ax+By=C, by far the easiest way to solve the system of equations is by eliminating one of the variables.<br><BR>\n" );
document.write( "You are given<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-y+=+-6 ALIGN=MIDDLE  ALT=\"3x-y+=+-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B3y+=+7 ALIGN=MIDDLE  ALT=\"2x%2B3y+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Since the y terms have coefficients that are opposite signs, my preference is to multiply one or both equations by appropriate constants so that the coefficients of y in the two equations are opposites; then adding the two equations will eliminate y, leaving an equation in just x that I can solve.  Then I use that value of x in one of the original equations to solve for y.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x-3y+=+-18 ALIGN=MIDDLE  ALT=\"9x-3y+=+-18\"   DISABLED_style= \"max-width:90%; height:auto;\" >  [multiply the first equation by 3]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B3y+=+7 ALIGN=MIDDLE  ALT=\"2x%2B3y+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11x+=+-11 ALIGN=MIDDLE  ALT=\"11x+=+-11\"   DISABLED_style= \"max-width:90%; height:auto;\" >  [add the two equations]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-1 ALIGN=MIDDLE  ALT=\"x+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28-1%29%2B3y+=+7 ALIGN=MIDDLE  ALT=\"2%28-1%29%2B3y+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" >  [set x to -1 in the second equation]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2B3y+=+7 ALIGN=MIDDLE  ALT=\"-2%2B3y+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y+=+9 ALIGN=MIDDLE  ALT=\"3y+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+3 ALIGN=MIDDLE  ALT=\"y+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The solution is (x,y) = (-1,3). </SPAN>\n" );
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