document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=123845>Question 123845</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I do not get how to use the substitution method while solving the equation 2x+4y=-6<BR>\n" );
document.write( "x-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 #90856 by </B><A HREF=/tutors/aboutme.mpl?userid=chitra><B>chitra(359)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=chitra><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=90856\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The given equations are:\r<BR>\n" );
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document.write( "2x + 4y = -6  ------------------(1)\r<BR>\n" );
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document.write( "x - 3y = 7  --------------------(2)\r<BR>\n" );
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document.write( "The 2nd equation can be re-written as:  x = 3y + 7 --------(3)\r<BR>\n" );
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document.write( "Substituting the 3rd eqn in the first equation we get:\r<BR>\n" );
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document.write( "2(3y + 7) + 4y = - 6 \r<BR>\n" );
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document.write( "using distributive property,\r<BR>\n" );
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document.write( "6y + 14 + 4y = - 6\r<BR>\n" );
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document.write( "10y + 14 = - 6\r<BR>\n" );
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document.write( "10y = -6 - 14 \r<BR>\n" );
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document.write( "10y = -20\r<BR>\n" );
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document.write( "==> y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%2820%2F10%29+ ALIGN=MIDDLE  ALT=\"-%2820%2F10%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==> y = - 2\r<BR>\n" );
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document.write( "Now by back substitution,in equation(3) we get: \r<BR>\n" );
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document.write( "x = 3y + 7\r<BR>\n" );
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document.write( "x = 3(-2) + 7 \r<BR>\n" );
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document.write( "x = -6 + 7\r<BR>\n" );
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document.write( "x = 1\r<BR>\n" );
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document.write( "thus the solution.\r<BR>\n" );
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document.write( "regs\r<BR>\n" );
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document.write( " </SPAN>\n" );
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