document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=264295>Question 264295</A>: <I><SPAN STYLE=\"word-break: break-all;\"> y=2x<BR>\n" );
document.write( "x+y=12    What is the answer in (x,y) form\r<BR>\n" );
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document.write( "y=1/3x+6<BR>\n" );
document.write( "3y-x=24    What is the answer in (x,y) form\r<BR>\n" );
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document.write( "3x+2y=13<BR>\n" );
document.write( "5x=2y+11     What is the answer in (x,y) form\r<BR>\n" );
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document.write( "6x-2y=6<BR>\n" );
document.write( "x+2y=8      What is the answer in (x,y) form </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #194598 by </B><A HREF=/tutors/aboutme.mpl?userid=JBarnum><B>JBarnum(2146)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JBarnum><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=JBarnum><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=194598\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y=2x<BR>\n" );
document.write( "x+y=12    What is the answer in (x,y) form\r<BR>\n" );
document.write( "\n" );
document.write( "y=1/3x+6<BR>\n" );
document.write( "3y-x=24    What is the answer in (x,y) form\r<BR>\n" );
document.write( "\n" );
document.write( "3x+2y=13<BR>\n" );
document.write( "5x=2y+11     What is the answer in (x,y) form\r<BR>\n" );
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document.write( "6x-2y=6<BR>\n" );
document.write( "x+2y=8      What is the answer in (x,y) form\r<BR>\n" );
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document.write( "These are all substitution/elimination problems\r<BR>\n" );
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document.write( "y=2x<BR>\n" );
document.write( "x+y=12   We know what \"y\" equals so put \"2x\" in place of the \"y\" in second equation<BR>\n" );
document.write( "x+(2x)=12 add common terms<BR>\n" );
document.write( "3x=12 divide by 3<BR>\n" );
document.write( "x=4 <BR>\n" );
document.write( "Now we know x=4 so replace \"x\" with \"4\" in the first equation<BR>\n" );
document.write( "y=2x<BR>\n" );
document.write( "y=2(4)<BR>\n" );
document.write( "y=8<BR>\n" );
document.write( "Now we know that y=4 so to put it in (x,y) form just replace the letters with the numbers (4,8)<BR>\n" );
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document.write( "y=1/3x+6<BR>\n" );
document.write( "3y-x=24 <BR>\n" );
document.write( "Im un able to answer this question completely as I dont know if the first equation is y=(1/3)x +6  or y=1/(3x+6) there will be completely different answers so please be specific when writing the problem.<BR>\n" );
document.write( "if I had to guess it would be y=(1/3)x +6.<BR>\n" );
document.write( "im going to use the elimination methad as its by far easier then to substitute with fractions.<BR>\n" );
document.write( "y-(1/3)x=6 id multiply this line by -3 so i can eliminate the \"y\"<BR>\n" );
document.write( "3y-x=24 <BR>\n" );
document.write( "-3y+x=-24 well as we can see these 2 equasions completely cancel each other out so the only possible answers can be (8,0) or(0,-24).due to the cancelation one variable must be 0.<BR>\n" );
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document.write( "3x+2y=13<BR>\n" );
document.write( "5x=2y+11     <BR>\n" );
document.write( "Id start with the bottom equation to rearange it use the elimination method<BR>\n" );
document.write( "5x=2y+11 => 5x-2y=11\r<BR>\n" );
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document.write( "3x+2y=13<BR>\n" );
document.write( "5x-2y=11 add vertically<BR>\n" );
document.write( "8x+0=24<BR>\n" );
document.write( "x=3<BR>\n" );
document.write( "Plug x=3 into one of the equations to find \"y\"<BR>\n" );
document.write( "3(3)+2y=13<BR>\n" );
document.write( "9+2y=13<BR>\n" );
document.write( "2y=4<BR>\n" );
document.write( "y=2<BR>\n" );
document.write( "(x,y)=(3,2)<BR>\n" );
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document.write( "6x-2y=6<BR>\n" );
document.write( "x+2y=8 <BR>\n" );
document.write( "add these vertically<BR>\n" );
document.write( "7x+0=14<BR>\n" );
document.write( "x=2<BR>\n" );
document.write( "Plug x=2 into one of the equations to find \"y\"<BR>\n" );
document.write( "(2)+2y=8<BR>\n" );
document.write( "2y=6<BR>\n" );
document.write( "y=3<BR>\n" );
document.write( "(x,y)=(2,3) </SPAN>\n" );
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