document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=81740>Question 81740</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system by substitution.<BR>\n" );
document.write( "	    x + 2y = 11<BR>\n" );
document.write( "	–2x + 4y = –6<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 #58579 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=58579\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
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document.write( "+ x + 2y = 11<BR>\n" );
document.write( "–2x + 4y = –6<BR>\n" );
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document.write( "Solve the top equation for x. Do this by subtracting 2y from both sides to make the top<BR>\n" );
document.write( "equation become:<BR>\n" );
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document.write( "x = 11 - 2y<BR>\n" );
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document.write( "Then go to the bottom equation and substitute 11 - 2y for x. When you do that substitution,<BR>\n" );
document.write( "the bottom equation becomes:<BR>\n" );
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document.write( "-2(11 - 2y) + 4y = -6<BR>\n" );
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document.write( "Do the distributed multiplication on the left side by multiplying -2 times both of the<BR>\n" );
document.write( "terms inside the parentheses.  Doing that multiplication results in:<BR>\n" );
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document.write( "-22 + 4y + 4y = -6<BR>\n" );
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document.write( "Get rid of the -22 on the left side by adding 22 to both sides.  This makes the equation:<BR>\n" );
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document.write( "+4y + 4y = 16<BR>\n" );
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document.write( "Add the two terms on the left side to get:<BR>\n" );
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document.write( "8y = 16<BR>\n" );
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document.write( "Solve for y by dividing both sides by 8, the multiplier of y. This division results<BR>\n" );
document.write( "in:<BR>\n" );
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document.write( "y = 16/8 = 2<BR>\n" );
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document.write( "Now that we know that y is 2, we can return to one of the two original equations, <BR>\n" );
document.write( "substitute 2 for y in that equation and solve for x.  Let's return to the top equation:<BR>\n" );
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document.write( "x + 2y = 11<BR>\n" );
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document.write( "Substitute 2 for y and get:<BR>\n" );
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document.write( "x + 2(2) = 11<BR>\n" );
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document.write( "Multiply out:<BR>\n" );
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document.write( "x + 4 = 11<BR>\n" );
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document.write( "Get rid of the 4 on the left side by subtracting 4 from both sides to get:<BR>\n" );
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document.write( "x = 11 - 4 = 7<BR>\n" );
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document.write( "So the answers to this problem are x = 7 and y = 2.<BR>\n" );
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document.write( "Hope this helps you to understand the problem and how to work out a solution by substitution.<BR>\n" );
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