document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=129145>Question 129145</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have to solve this problem by the addition method. I do have a book but this problem is not out of a book,it's from a handout. I tried to follow the steps in the book to do this but its not clear enough for me.I'm not sure how to go about doing this.Do I just add them together and then plug in numbers that are given? The problem is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B4y=1 ALIGN=MIDDLE  ALT=\"3x%2B4y=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4y=7 ALIGN=MIDDLE  ALT=\"x%2B4y=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The choice for answers are: A) (3,2) B)(-2,3) C)(3,-2)D)(-3, 5/2) E)(none of them)\r<BR>\n" );
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document.write( "I chose NONE OF THE ABOVE.\r<BR>\n" );
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document.write( "Thankyou so much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #94399 by </B><A HREF=/tutors/aboutme.mpl?userid=Construe><B>Construe(3)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Construe><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=94399\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Edit: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y%2B4y ALIGN=MIDDLE  ALT=\"4y%2B4y\"   DISABLED_style= \"max-width:90%; height:auto;\" > does not always equal <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y-4y=0 ALIGN=MIDDLE  ALT=\"4y-4y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > always. That is what we are doing when we take Equation 1 minus Equation 2. To illustrate my point, I will show it step-by-step:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B4y%29-%28x%2B4y%29=1-7 ALIGN=MIDDLE  ALT=\"%283x%2B4y%29-%28x%2B4y%29=1-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Simplify the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-7 ALIGN=MIDDLE  ALT=\"1-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > on the right side of the =.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B4y%29-%28x%2B4y%29=-6 ALIGN=MIDDLE  ALT=\"%283x%2B4y%29-%28x%2B4y%29=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Remove unnecessary brackets (or parentheses, depending on what you want to call them).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B4y-%28x%2B4y%29=-6 ALIGN=MIDDLE  ALT=\"3x%2B4y-%28x%2B4y%29=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now we remove the other pair of brackets. However, the sign before the open bracket is a minus sign, so we change the + sign inside the bracket to a -.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B4y-x-4y=-6 ALIGN=MIDDLE  ALT=\"3x%2B4y-x-4y=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "To understand why we must change the sign, consider this example. Let x be apples and y be oranges. When I perform <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28x%2B4y%29 ALIGN=MIDDLE  ALT=\"-%28x%2B4y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, I am taking away 1 apple and 4 oranges. That would have the same effect as taking away 1 apple, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x ALIGN=MIDDLE  ALT=\"-x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and then taking away 4 oranges, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4y ALIGN=MIDDLE  ALT=\"-4y\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28x%2B4y%29=-x-4y ALIGN=MIDDLE  ALT=\"-%28x%2B4y%29=-x-4y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B4y-x-4y=-6 ALIGN=MIDDLE  ALT=\"3x%2B4y-x-4y=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Rearranging the terms,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-x%2B4y-4y=-6 ALIGN=MIDDLE  ALT=\"3x-x%2B4y-4y=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Simplifying x,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B4y-4y=-6 ALIGN=MIDDLE  ALT=\"2x%2B4y-4y=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Obviously +4y and -4y cancel each other out, so our final equation is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=-6 ALIGN=MIDDLE  ALT=\"2x=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-6%29%2F2=-3 ALIGN=MIDDLE  ALT=\"x=%28-6%29%2F2=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "---\r<BR>\n" );
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document.write( "We are given two equations:\r<BR>\n" );
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document.write( "Equation 1:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B4y=1 ALIGN=MIDDLE  ALT=\"3x%2B4y=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equation 2:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4y=7 ALIGN=MIDDLE  ALT=\"x%2B4y=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtracting Equation 2 from Equation 1, we obtain:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B4y%29-%28x%2B4y%29=1-7=-6 ALIGN=MIDDLE  ALT=\"%283x%2B4y%29-%28x%2B4y%29=1-7=-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=-6 ALIGN=MIDDLE  ALT=\"2x=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-6%29%2F2=-3 ALIGN=MIDDLE  ALT=\"x=%28-6%29%2F2=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then, substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-3 ALIGN=MIDDLE  ALT=\"x=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > into Equation 2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2B4y=7 ALIGN=MIDDLE  ALT=\"-3%2B4y=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y=7%2B3=10 ALIGN=MIDDLE  ALT=\"4y=7%2B3=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=10%2F4=5%2F2 ALIGN=MIDDLE  ALT=\"y=10%2F4=5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-3 ALIGN=MIDDLE  ALT=\"x=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=5%2F2 ALIGN=MIDDLE  ALT=\"y=5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the solutions of (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >) are (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3 ALIGN=MIDDLE  ALT=\"-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F2 ALIGN=MIDDLE  ALT=\"5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >), and the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D ALIGN=MIDDLE  ALT=\"D\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );