document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=65658>Question 65658</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve each system by addition. If a unique solution does not exist, state whether the system is consistent or dependent.\r<BR>\n" );
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document.write( "	2x +3y = 1<BR>\n" );
document.write( "	5x +3y = 16<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 #46339 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=46339\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve each system by addition. If a unique solution does not exist, state whether the system is consistent or dependent. <BR>\n" );
document.write( "(1)   2x +3y = 1<BR>\n" );
document.write( "(2)   5x +3y = 16\r<BR>\n" );
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document.write( "First, multiply (1) by -1 and we get:\r<BR>\n" );
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document.write( "(1)   -2x -3y = -1<BR>\n" );
document.write( "(2)   5x +3y = 16\r<BR>\n" );
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document.write( "Next, add (1) and (2) and we have:\r<BR>\n" );
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document.write( "3x=15<BR>\n" );
document.write( "x=5\r<BR>\n" );
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document.write( "Substitute x=5 in (1):\r<BR>\n" );
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document.write( "(2)(5)+3y=1\r<BR>\n" );
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document.write( "10+3y=1  subtract 10 from both sides<BR>\n" );
document.write( "3y=-10+1<BR>\n" );
document.write( "3y=-9<BR>\n" );
document.write( "y=-3\r<BR>\n" );
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document.write( "ck<BR>\n" );
document.write( "substitute in (1)<BR>\n" );
document.write( "(2)(5)+(3)(-3)=1<BR>\n" );
document.write( "10-9=1<BR>\n" );
document.write( "1=1\r<BR>\n" );
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document.write( "Substitute in (2)<BR>\n" );
document.write( "(5)(5)+3(-3)=16<BR>\n" );
document.write( "25-9=16<BR>\n" );
document.write( "16=16\r<BR>\n" );
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document.write( "Hope this helps----ptaylor\r<BR>\n" );
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