document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=176917>Question 176917</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two lines have the following equations.<BR>\n" );
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document.write( "2x+y = 4<BR>\n" );
document.write( "3y = 2x - 12<BR>\n" );
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document.write( "At what point do these lines intersect?<BR>\n" );
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document.write( "please help thanks!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #131966 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=131966\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x+y = 4<BR>\n" );
document.write( "3y = 2x - 12\r<BR>\n" );
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document.write( "At what point do these lines intersect?<BR>\n" );
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document.write( "Rearrange:<BR>\n" );
document.write( "y = -2x + 4<BR>\n" );
document.write( "y = (2/3)x - 4<BR>\n" );
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document.write( "Substitute to get:<BR>\n" );
document.write( "-2x+4 = (2/3)x - 4\r<BR>\n" );
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document.write( "(8/3)x = 8\r<BR>\n" );
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document.write( "(1/3)x = 1<BR>\n" );
document.write( "x = 3<BR>\n" );
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document.write( "Since y = -2x + 4, y = -2*3 + 4 = -2<BR>\n" );
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document.write( "Solution: (3,-2)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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