document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=760725>Question 760725</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please show me step by step how to solve these simultaneous equations using the substitution method : <BR>\n" );
document.write( "x-8=2y and x+y=-2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #462847 by </B><A HREF=/tutors/aboutme.mpl?userid=ramkikk66><B>ramkikk66(644)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ramkikk66><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=462847\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+8+=+2y ALIGN=MIDDLE  ALT=\"x+-+8+=+2y\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> equation (1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+y+=+-2 ALIGN=MIDDLE  ALT=\"x+%2B+y+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> equation (2)\r<BR>\n" );
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document.write( "For substitution, we have to express x in terms of y. In the 1st equation, let us get rid of the term \"8\" on the left hand side, to get x alone. To do this, we have to add  8 to both sides of the equation (because there  is a \"-8\" on the left side, adding 8 will cancel it out)\r<BR>\n" );
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document.write( "From (1), by adding 8 to both sides, we get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2y+%2B+8 ALIGN=MIDDLE  ALT=\"x+=+2y+%2B+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> equation(3)\r<BR>\n" );
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document.write( "Now that we know that x = 2y + 8, we substitute for x in equation (2)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y+%2B+8+%2B+y+=+-2 ALIGN=MIDDLE  ALT=\"2y+%2B+8+%2B+y+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > -> because x = 2y + 8\r<BR>\n" );
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document.write( "Simplifying\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y+%2B+8+=+-2 ALIGN=MIDDLE  ALT=\"3y+%2B+8+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> equation(4)\r<BR>\n" );
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document.write( "Subtract 8 from both sides (to get rid of the +8 on the left side)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y+=+-2+-8+=+-10 ALIGN=MIDDLE  ALT=\"3y+=+-2+-8+=+-10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-10%2F3 ALIGN=MIDDLE  ALT=\"y+=+-10%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now that we know y, we can get the value of x from (3)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2y+%2B+8+=+2%2A%28-10%2F3%29+%2B+8+=+-20%2F3+%2B+8+=+-20%2F3+%2B+24%2F3+=+4%2F3 ALIGN=MIDDLE  ALT=\"x+=+2y+%2B+8+=+2%2A%28-10%2F3%29+%2B+8+=+-20%2F3+%2B+8+=+-20%2F3+%2B+24%2F3+=+4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+4%2F3 ALIGN=MIDDLE  ALT=\"x+=+4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( ":)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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