document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=124642>Question 124642</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system by addition.  If solution does not exist, state whether the system is inconsistent or dependent.\r<BR>\n" );
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document.write( "2x+3y=1<BR>\n" );
document.write( "5x+3y=16\r<BR>\n" );
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document.write( "Show your solution below:\r<BR>\n" );
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document.write( "The solution for this system is => <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #91436 by </B><A HREF=/tutors/aboutme.mpl?userid=iluvbuilding429><B>iluvbuilding429(41)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=iluvbuilding429><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=91436\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the system by addition.  If solution does not exist, state whether the system is inconsistent or dependent.\r<BR>\n" );
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document.write( "2x+3y=1<BR>\n" );
document.write( "5x+3y=16<br><br>\r<BR>\n" );
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document.write( "The first step in solving this is to multiply one of the equations so that one of the terms cancels out with the one from the other equation. Since you already have 2 3y's, all you need to do is multiply the equation by -1 so that they cancel out. This gives you these equations:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x-3y=-1 ALIGN=MIDDLE  ALT=\"-2x-3y=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2B3y=16 ALIGN=MIDDLE  ALT=\"5x%2B3y=16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><br>\r<BR>\n" );
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document.write( "Since the -3y and the 3y cancel each other out, remove them from the equations:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x=-1 ALIGN=MIDDLE  ALT=\"-2x=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x=16 ALIGN=MIDDLE  ALT=\"5x=16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><br>\r<BR>\n" );
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document.write( "When you add the terms, you get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=15 ALIGN=MIDDLE  ALT=\"3x=15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><br>\r<BR>\n" );
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document.write( "Divide both sides by 3:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5 ALIGN=MIDDLE  ALT=\"x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><br>\r<BR>\n" );
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document.write( "Now, you plug this value into one of the original equations:(I'll use the first)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%285%29%2B3y=1 ALIGN=MIDDLE  ALT=\"2%285%29%2B3y=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><br>\r<BR>\n" );
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document.write( "Multiply:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2B3y=1 ALIGN=MIDDLE  ALT=\"10%2B3y=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><br>\r<BR>\n" );
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document.write( "Subtract 10 from both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y=-9 ALIGN=MIDDLE  ALT=\"3y=-9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><br>\r<BR>\n" );
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document.write( "Divide both sides by 3:<BR>\n" );
document.write( "<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;\" ><br><br>\r<BR>\n" );
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document.write( "So, your answer is:<BR>\n" );
document.write( "x=5 and y=-3\r<BR>\n" );
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document.write( " </SPAN>\n" );
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