document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=633458>Question 633458</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the point of intersection of the lines with the given equations.<BR>\n" );
document.write( "3x + 4y = -6     and     2x + 5y = -11 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #399072 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=399072\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The coordinates of the point of intersection are the x and y that are solutions to the system<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%283x+%2B+4y+=-6%2C2x+%2B+5y+=-11%29 ALIGN=MIDDLE  ALT=\"system%283x+%2B+4y+=-6%2C2x+%2B+5y+=-11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "All we have to do is solve the system.<BR>\n" );
document.write( "There are many ways to do it.<BR>\n" );
document.write( "Graphing the lines may suggest a solution, which we need to verify.<BR>\n" );
document.write( "With just pencil and paper, that would be time consuming and cumbersome).<BR>\n" );
document.write( "Probably the best way is elimination.<BR>\n" );
document.write( "If we add the first equation times (-2),<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6x-8y=12 ALIGN=MIDDLE  ALT=\"-6x-8y=12\"   DISABLED_style= \"max-width:90%; height:auto;\" > , plus the second equation times 3,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%2B15y=-33 ALIGN=MIDDLE  ALT=\"6x%2B15y=-33\"   DISABLED_style= \"max-width:90%; height:auto;\" > , we eliminate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7y=-21 ALIGN=MIDDLE  ALT=\"7y=-21\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-3%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substituting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-3 ALIGN=MIDDLE  ALT=\"y=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+%2B+4y+=-6 ALIGN=MIDDLE  ALT=\"3x+%2B+4y+=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B4%28-3%29=-6 ALIGN=MIDDLE  ALT=\"3x%2B4%28-3%29=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-12=-6 ALIGN=MIDDLE  ALT=\"3x-12=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=-6%2B12 ALIGN=MIDDLE  ALT=\"3x=-6%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=6 ALIGN=MIDDLE  ALT=\"3x=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=2%29 ALIGN=MIDDLE  ALT=\"highlight%28x=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The lines intersect at (2,-3).\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
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