document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1007851>Question 1007851</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On my homework it says:<BR>\n" );
document.write( "Solve the system of equations through elimination.<BR>\n" );
document.write( "2x-3y=21<BR>\n" );
document.write( "-6x+2y=7\r<BR>\n" );
document.write( "\n" );
document.write( "I have tried so many times but can't figure it out. And how do I know whether to add or subtract?<BR>\n" );
document.write( "I'd greatly appreciate it if I could be taught HOW to solve this, not just the answer.<BR>\n" );
document.write( "Thank You! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #623704 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=623704\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Solve the system of equations through elimination.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-3y=21 ALIGN=MIDDLE  ALT=\"2x-3y=21\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....eq.1.........both sides multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6x%2B2y=7 ALIGN=MIDDLE  ALT=\"-6x%2B2y=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........eq.2<BR>\n" );
document.write( "-----------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x-9y=63 ALIGN=MIDDLE  ALT=\"6x-9y=63\"   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=-6x%2B2y=7 ALIGN=MIDDLE  ALT=\"-6x%2B2y=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........eq.2<BR>\n" );
document.write( "-----------------------------add both eq.1 and eq.2\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x-9y%2B%28-6x%2B2y%29=63%2B7 ALIGN=MIDDLE  ALT=\"6x-9y%2B%28-6x%2B2y%29=63%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%286x%29-9y-cross%286x%29%2B2y=70 ALIGN=MIDDLE  ALT=\"cross%286x%29-9y-cross%286x%29%2B2y=70\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......eliminate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x ALIGN=MIDDLE  ALT=\"6x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6x ALIGN=MIDDLE  ALT=\"-6x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-9y%2B2y=70 ALIGN=MIDDLE  ALT=\"-9y%2B2y=70\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7y=70 ALIGN=MIDDLE  ALT=\"-7y=70\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=70%2F-7 ALIGN=MIDDLE  ALT=\"y=70%2F-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=+-10%29 ALIGN=MIDDLE  ALT=\"highlight%28y=+-10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now go back to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6x%2B2y=7 ALIGN=MIDDLE  ALT=\"-6x%2B2y=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........eq.2, substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-10 ALIGN=MIDDLE  ALT=\"-10\"   DISABLED_style= \"max-width:90%; height:auto;\" > for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > and find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6x%2B2%28-10%29=7 ALIGN=MIDDLE  ALT=\"-6x%2B2%28-10%29=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7-20=6x ALIGN=MIDDLE  ALT=\"-7-20=6x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-27=6x ALIGN=MIDDLE  ALT=\"-27=6x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-27%2F6 ALIGN=MIDDLE  ALT=\"x=-27%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-9%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-9%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-4.5%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-4.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "so, these two lines intersect at point (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4.5 ALIGN=MIDDLE  ALT=\"-4.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-10 ALIGN=MIDDLE  ALT=\"-10\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+600%2C+600%2C+-10%2C+10%2C+-15%2C+10%2C+%0D%0Acircle%28-4.5%2C-10%2C.12%29%2Clocate%28-4.5%2C-10%2Cp%28-4.5%2C-10%29%29%2C%0D%0Agraph%28+600%2C+600%2C+-10%2C+10%2C+-15%2C+10%2C+6x%2F9-63%2F9%2C3x%2B7%2F2%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );