document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=291103>Question 291103</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how to solve:\r<BR>\n" );
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document.write( "Question: Solve The System By Substitution.<BR>\n" );
document.write( "x=2+y<BR>\n" );
document.write( "4x-3y=11\r<BR>\n" );
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document.write( "I Have no clue what to do! Help, Pls. Thank's. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #210601 by </B><A HREF=/tutors/aboutme.mpl?userid=brucewill><B>brucewill(101)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=brucewill><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=210601\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When they say \"by substituion\", that means take isolate one variable in a sentence, and substitute that variable into the other equation.  In this case, the first statement already has establish a value for x (namely 2+y), so we substitute (2+y) for x, into the second statement, and solve for y:\r<BR>\n" );
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document.write( "4(2+y) - 3y = 11<BR>\n" );
document.write( "8 + 4y = 3y = 11; now, subtract 8 from both sides<BR>\n" );
document.write( "4y = 3y + 3; now, subtract 3y from both sides<BR>\n" );
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document.write( "Substitute the y=3 back into the first statement:\r<BR>\n" );
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document.write( "x = 2 + 3<BR>\n" );
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document.write( "Verify, by substituting into original equations:<BR>\n" );
document.write( "5 = 2 + 3.  OK\r<BR>\n" );
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document.write( "4(5) - 3(3) = 11<BR>\n" );
document.write( "20 - 9 = 11.  OK.\r<BR>\n" );
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