document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=23686>Question 23686</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the system by substitution\r<BR>\n" );
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document.write( "6(x+2)-y=31\r<BR>\n" );
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document.write( "5x-2(y-3)=23 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #12472 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=12472\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 6(x+2)-y=31 --eqn1<BR>\n" );
document.write( "5x-2(y-3)=23 --eqn2\r<BR>\n" );
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document.write( "eqn1 is re-arranged as follows:<BR>\n" );
document.write( "6(x+2)-y=31<BR>\n" );
document.write( "6(x+2)=31+y<BR>\n" );
document.write( "6(x+2)-31=y\r<BR>\n" );
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document.write( "so, y = 6(x+2)-31. --eqn3\r<BR>\n" );
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document.write( "5x-2(y-3)=23<BR>\n" );
document.write( "5x-2y+6 = 23<BR>\n" );
document.write( "5x-2y = 17\r<BR>\n" );
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document.write( "Now sub eqn3 into our simplified version of eqn2 as follows:<BR>\n" );
document.write( "5x-2y = 17 becomes<BR>\n" );
document.write( "5x-2(6(x+2)-31) = 17<BR>\n" );
document.write( "5x-2(6x+12)-31) = 17<BR>\n" );
document.write( "5x-2(6x-19) = 17<BR>\n" );
document.write( "5x-12x+38 = 17<BR>\n" );
document.write( "-7x+38 = 17<BR>\n" );
document.write( "-7x = -21<BR>\n" );
document.write( "x = -21/-7<BR>\n" );
document.write( "--> x = 3\r<BR>\n" );
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document.write( "So, now find y:<BR>\n" );
document.write( "y = 6(x+2)-31<BR>\n" );
document.write( "y = 6(3+2)-31<BR>\n" );
document.write( "y = 6(5)-31<BR>\n" );
document.write( "y = 30-31<BR>\n" );
document.write( "--> y = -1\r<BR>\n" );
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document.write( "Now, check in the other equation that your solution works there too:\r<BR>\n" );
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document.write( "5x-2(y-3)=23<BR>\n" );
document.write( "5(3)-2(-1-3)=23<BR>\n" );
document.write( "15-2(-1-3)=23<BR>\n" );
document.write( "15-2(-4)=23<BR>\n" );
document.write( "15+8=23<BR>\n" );
document.write( "23=23 --> correct\r<BR>\n" );
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document.write( "Now you KNOW that your answers are correct.\r<BR>\n" );
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document.write( "jon.<BR>\n" );
document.write( " </SPAN>\n" );
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