document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=463313>Question 463313</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the coordinates of the point where the lines pass y= -2x-1 and y=-x+6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #317502 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><B>algebrahouse.com(1659)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><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=algebrahouse.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=317502\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"Determine the coordinates of the point where the lines pass y= -2x-1 and y=-x+6\"\r<BR>\n" );
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document.write( "To do this, solve the two equations simultaneously for x and y\r<BR>\n" );
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document.write( "y = -2x - 1<BR>\n" );
document.write( "y = -x + 6\r<BR>\n" );
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document.write( "-x + 6 = -2x - 1 {substituted -x + 6, in for y, into top equation}<BR>\n" );
document.write( "-x = -2x - 7 {subtracted 6 from both sides}<BR>\n" );
document.write( "x = -7 {added 2x to both sides}\r<BR>\n" );
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document.write( "y = -x + 6 {bottom equation}<BR>\n" );
document.write( "y = 7 + 6 {substituted -7, in for x, into bottom equation}<BR>\n" );
document.write( "y = 13 {combined like terms}\r<BR>\n" );
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document.write( "x = -7 and y = 13<BR>\n" );
document.write( "the two lines would intersect at (-7,13)<BR>\n" );
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