document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67740>Question 67740</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system by substitution:<BR>\n" );
document.write( "4x - 12y = 5<BR>\n" );
document.write( "-x + 3y = -1 <BR>\n" );
document.write( "Thanks for any help you can give me.<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 #48190 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=48190\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the system by substitution<BR>\n" );
document.write( "(1)              4x - 12y = 5<BR>\n" );
document.write( "(2)              -x + 3y = -1 <BR>\n" );
document.write( "Thanks for any help you can give me.\r<BR>\n" );
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document.write( "(1)              4x - 12y = 5<BR>\n" );
document.write( "(2)              -x + 3y = -1 \r<BR>\n" );
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document.write( "subtract 3 from both sides of (1) and multiply both sides by -1\r<BR>\n" );
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document.write( "(1)              4x - 12y = 5<BR>\n" );
document.write( "(2)              x=1+3y\r<BR>\n" );
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document.write( "Substitute x=1+3y into (1)\r<BR>\n" );
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document.write( "4(1+3y)-12y=5  clear parens<BR>\n" );
document.write( "4+12y-12y=5----------------------------------BLOWS APART\r<BR>\n" );
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document.write( "Lets look at the slope of Eq (1) and (2)\r<BR>\n" );
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document.write( "y=mx+b, where m is the slope\r<BR>\n" );
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document.write( "(1)   y=(4/12)x-5/12\r<BR>\n" );
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document.write( "(2)   y=(1/3)x-1\r<BR>\n" );
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document.write( "These lines have the same slope.  That means that they are parallel.\r<BR>\n" );
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document.write( "There's no solution-------------------answer\r<BR>\n" );
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document.write( "Hope this helps---------------ptaylor\r<BR>\n" );
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