document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=248856>Question 248856</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine where the two lines x+4y=3 and 2x-6y=8 intersect? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #181334 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=181334\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Arrange both equations in slope-intercept form.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The first equation is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4y=3 ALIGN=MIDDLE  ALT=\"x%2B4y=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract x from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y+=+-x+%2B3 ALIGN=MIDDLE  ALT=\"4y+=+-x+%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by 4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-%281%2F4%29x+%2B+3%2F4 ALIGN=MIDDLE  ALT=\"y+=+-%281%2F4%29x+%2B+3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "The second equation is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+-6y+=+8 ALIGN=MIDDLE  ALT=\"2x+-6y+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract 2x from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6y+=+-2x+%2B8 ALIGN=MIDDLE  ALT=\"-6y+=+-2x+%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by -6<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%281%2F3%29x+-+4%2F3 ALIGN=MIDDLE  ALT=\"y+=+%281%2F3%29x+-+4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "By inspection, we know the two lines are not parallel because they do not have the same slope.  So they cannot be the same line.  We also can tell they are not perpendicular.<BR>\n" );
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document.write( "The two equations will intersect the points will be the same.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%281%2F4%29x+%2B+3%2F4+=+%281%2F3%29x+-+4%2F3 ALIGN=MIDDLE  ALT=\"-%281%2F4%29x+%2B+3%2F4+=+%281%2F3%29x+-+4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by 12 to remove the fractions<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x+%2B+9+=+4x+-+16 ALIGN=MIDDLE  ALT=\"-3x+%2B+9+=+4x+-+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract 4x from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7x+%2B+9+=+-16 ALIGN=MIDDLE  ALT=\"-7x+%2B+9+=+-16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract 9 from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7x+=+-25 ALIGN=MIDDLE  ALT=\"-7x+=+-25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by -7<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+25%2F7+=+3.5714 ALIGN=MIDDLE  ALT=\"x+=+25%2F7+=+3.5714\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Graph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Agraph%28500%2C500%2C-5%2C5%2C-5%2C5%2C-1%2F4%2Ax%2B3%2F4%2C+1%2F3%2Ax+-4%2F3%29%0D%0A ALIGN=MIDDLE  ALT=\"%0D%0Agraph%28500%2C500%2C-5%2C5%2C-5%2C5%2C-1%2F4%2Ax%2B3%2F4%2C+1%2F3%2Ax+-4%2F3%29%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );