document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=12985>Question 12985</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello:\r<BR>\n" );
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document.write( "I really need your help. I have tried all possible ways to solve this equation but I am confused on how to start to solve it. Here is the question:\r<BR>\n" );
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document.write( "Find the point of intersection of the given straight lines.\r<BR>\n" );
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document.write( "x - 4y = -2<BR>\n" );
document.write( "x + 2y = 4\r<BR>\n" );
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document.write( "Please help me with this problem. Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #6527 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=6527\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are several ways to do this.  The elimination method usually works well when the equations are both in standard form, as in this case.  \r<BR>\n" );
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document.write( "x - 4y = -2<BR>\n" );
document.write( "x + 2y = 4 \r<BR>\n" );
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document.write( "In order to eliminate the x variable, multiply the first equation by -1, and rewrite the second equation as it is:\r<BR>\n" );
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document.write( "-x + 4y = 2<BR>\n" );
document.write( "x + 2y = 4\r<BR>\n" );
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document.write( "Now add these two equations together giving you\r<BR>\n" );
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document.write( "6y = 6<BR>\n" );
document.write( "y=1\r<BR>\n" );
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document.write( "Substitute the y = 1 back into either equation, say the first one:\r<BR>\n" );
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document.write( "x - 4y = -2<BR>\n" );
document.write( "x - 4(1) = -2<BR>\n" );
document.write( "x-4 = -2\r<BR>\n" );
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document.write( "Add 4 to each side:<BR>\n" );
document.write( "x-4+4 = -2 + 4<BR>\n" );
document.write( "x=2\r<BR>\n" );
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document.write( "Check in the second equation, by letting x= 2 and y = 1:<BR>\n" );
document.write( "x + 2y = 4 <BR>\n" );
document.write( "2 + 2(1) = 4<BR>\n" );
document.write( "It checks!\r<BR>\n" );
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document.write( "R^2 at SCC\r<BR>\n" );
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document.write( " \r<BR>\n" );
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document.write( " </SPAN>\n" );
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