document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147165>Question 147165</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve using the addition method,answer must be an ordered pair.<BR>\n" );
document.write( "-2x=2y+5<BR>\n" );
document.write( "6x+3y=3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #107497 by </B><A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><B>mangopeeler07(462)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><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=107497\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Choose a variable to solve for first.  How about y?  Line up the two equations and multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x=2y%2B5 ALIGN=MIDDLE  ALT=\"-2x=2y%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > by three.  Then manipulate the second equation into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x=-3y%2B3 ALIGN=MIDDLE  ALT=\"6x=-3y%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > by subtracting 3y from both sides.  Once this is done, you should have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6x=6y%2B15 ALIGN=MIDDLE  ALT=\"-6x=6y%2B15\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x=-3y%2B3 ALIGN=MIDDLE  ALT=\"6x=-3y%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Add them together and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=3y%2B18 ALIGN=MIDDLE  ALT=\"0=3y%2B18\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Subtract 18 from both sides and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-18=3y ALIGN=MIDDLE  ALT=\"-18=3y\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Divide both sides by three and get y=-6.  Then plug y back into the original equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x=2y%2B5 ALIGN=MIDDLE  ALT=\"-2x=2y%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and solve for x.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x=-12%2B5 ALIGN=MIDDLE  ALT=\"-2x=-12%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > after plugging in y, and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x=-7 ALIGN=MIDDLE  ALT=\"-2x=-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Divide each side by -2 and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=7%2F2 ALIGN=MIDDLE  ALT=\"x=7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. You wanna check? Plug x and y into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%2B3y%2B3 ALIGN=MIDDLE  ALT=\"6x%2B3y%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21-18=3 ALIGN=MIDDLE  ALT=\"21-18=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  It's true! So y=-6 and x=7/2. </SPAN>\n" );
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