document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=947975>Question 947975</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system using elimination.<BR>\n" );
document.write( " <BR>\n" );
document.write( "4x - 5y = 11<BR>\n" );
document.write( "6x + 7y = 31<BR>\n" );
document.write( " 	<BR>\n" );
document.write( "A. (-2, 2)<BR>\n" );
document.write( "B. (10, 2)<BR>\n" );
document.write( "C. (4, -5)<BR>\n" );
document.write( "D. (4, 1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #581763 by </B><A HREF=/tutors/aboutme.mpl?userid=EdenWolf><B>EdenWolf(517)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=EdenWolf><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=EdenWolf><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=581763\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+-+5y+=+11 ALIGN=MIDDLE  ALT=\"4x+-+5y+=+11\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x+%2B+7y+=+31 ALIGN=MIDDLE  ALT=\"6x+%2B+7y+=+31\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To eliminate one of the variables, let us multiply the top equation by 3 and the bottom equation by -2, so we can have 12x on the top and -12x on the bottom, so then we can add the two equations to eliminate the x variable.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x-15y=33 ALIGN=MIDDLE  ALT=\"12x-15y=33\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12x-14y=-62 ALIGN=MIDDLE  ALT=\"-12x-14y=-62\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now let's add the two equations together, thus eliminating the x variable.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-29y=-29 ALIGN=MIDDLE  ALT=\"-29y=-29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1 ALIGN=MIDDLE  ALT=\"y=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We know that y is 1, so let's plug it into one of the equations. For example, let's just use the first one, to find x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-5%281%29=11 ALIGN=MIDDLE  ALT=\"4x-5%281%29=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-5=11 ALIGN=MIDDLE  ALT=\"4x-5=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x=16 ALIGN=MIDDLE  ALT=\"4x=16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Thus the answer is D: (4,1). </SPAN>\n" );
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