document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=288639>Question 288639</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the folllowing system of equations algebraically:\r<BR>\n" );
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document.write( "                                 3x+2y=4<BR>\n" );
document.write( "                                 4x+3y=7 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #209205 by </B><A HREF=/tutors/aboutme.mpl?userid=brucewill><B>brucewill(101)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=brucewill><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=209205\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, you need to eliminate one variable or the other; I'm choosing to eliminate x, by multiplying the first statement by 4, and the second statement by 3:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x+%2B+8y+=+16 ALIGN=MIDDLE  ALT=\"12x+%2B+8y+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x+%2B+9y+=+21 ALIGN=MIDDLE  ALT=\"12x+%2B+9y+=+21\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Now, subtract the first statment from the first:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y+=+5%29 ALIGN=MIDDLE  ALT=\"highlight%28y+=+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute for y into either equation (I choose the second)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x+%2B+45+=+21 ALIGN=MIDDLE  ALT=\"12x+%2B+45+=+21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x+=+-24 ALIGN=MIDDLE  ALT=\"12x+=+-24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<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( "To prove, substitute into both equations:<BR>\n" );
document.write( "3(-2) + 2(5) = 16<BR>\n" );
document.write( "-6 + 10 = 4<BR>\n" );
document.write( "16 = 16.\r<BR>\n" );
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document.write( "4(-2) + 3(5) = 7<BR>\n" );
document.write( "-8 + 15 = 7<BR>\n" );
document.write( "7 = 7.<BR>\n" );
document.write( " </SPAN>\n" );
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