document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=256057>Question 256057</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i need help with this:\r<BR>\n" );
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document.write( "Find the common solution to the following pair of lines by graphing them on the same axes.\r<BR>\n" );
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document.write( "3x + 2y = 6<BR>\n" );
document.write( "x - y = 2\r<BR>\n" );
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document.write( "The lines intersect at (?,? ).\r<BR>\n" );
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document.write( "the answer is (2,0). i was wondering how they got (2,0). I have graphed this every way i could think of and never got (2,0). here are the answers i got:\r<BR>\n" );
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document.write( "(-2,4), (-4,2), (2,4), (4,2), (4,-2), (2,-4), (-2,-4), (-4,-2).\r<BR>\n" );
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document.write( "did i do that right and there's a glitch? or did i do that wrong without realizing?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #188216 by </B><A HREF=/tutors/aboutme.mpl?userid=CharlesG2><B>CharlesG2(834)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CharlesG2><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=188216\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  \"  i need help with this: <BR>\n" );
document.write( "Find the common solution to the following pair of lines by graphing them on the same axes. <BR>\n" );
document.write( "3x + 2y = 6<BR>\n" );
document.write( "x - y = 2 <BR>\n" );
document.write( "The lines intersect at (?,? ). <BR>\n" );
document.write( "the answer is (2,0). i was wondering how they got (2,0). I have graphed this every way i could think of and never got (2,0). here are the answers i got: <BR>\n" );
document.write( "(-2,4), (-4,2), (2,4), (4,2), (4,-2), (2,-4), (-2,-4), (-4,-2). <BR>\n" );
document.write( "did i do that right and there's a glitch? or did i do that wrong without realizing?   \"\r<BR>\n" );
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document.write( "3x+2y=6<BR>\n" );
document.write( "2y=-3x+6<BR>\n" );
document.write( " y=(-3/2)x+3\r<BR>\n" );
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document.write( "x-y=2<BR>\n" );
document.write( " -y=-x+2<BR>\n" );
document.write( "  y=x-2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+%28-3%2F2%29%2Ax%2B3%2C+x-2%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+%28-3%2F2%29%2Ax%2B3%2C+x-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the graph does indeed cross at (2,0)\r<BR>\n" );
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document.write( "we could also set the equations equal to one another and solve for x<BR>\n" );
document.write( "(-3/2)x+3=x-2<BR>\n" );
document.write( "-3x+6=2x-4<BR>\n" );
document.write( "-5x=-10<BR>\n" );
document.write( "  x=2\r<BR>\n" );
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document.write( "plug x=2 into each and solve for y<BR>\n" );
document.write( "3x + 2y = 6<BR>\n" );
document.write( "x - y = 2 \r<BR>\n" );
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document.write( "3(2)+2y=6<BR>\n" );
document.write( "6+2y=6<BR>\n" );
document.write( "2y=0<BR>\n" );
document.write( "y=0\r<BR>\n" );
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document.write( "(2)-y=2<BR>\n" );
document.write( "-y=0<BR>\n" );
document.write( "y=0\r<BR>\n" );
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document.write( "I hope all this helps\r<BR>\n" );
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