document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=81495>Question 81495</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve each of the following systems by substitution.\r<BR>\n" );
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document.write( "5x - 2y = -5<BR>\n" );
document.write( "y - 5x = 3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #58362 by </B><A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><B>praseenakos@yahoo.com(507)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><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=praseenakos@yahoo.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=58362\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> QUESTION:\r<BR>\n" );
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document.write( "Solve each of the following systems by substitution.\r<BR>\n" );
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document.write( "5x - 2y = -5<BR>\n" );
document.write( "y - 5x = 3\r<BR>\n" );
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document.write( "ANSWER:\r<BR>\n" );
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document.write( "5x - 2y = -5  ------------(1)\r<BR>\n" );
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document.write( "y - 5x = 3 ---------------(2)\r<BR>\n" );
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document.write( "Add 5x to both sides of the equation (2)\r<BR>\n" );
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document.write( "==> y - 5x + 5x = 3 + 5x\r<BR>\n" );
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document.write( "==> y = 3 + 5x --------------(3)\r<BR>\n" );
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document.write( "Substitute this value of y, that is y = 3 + 5x in equation(1)\r<BR>\n" );
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document.write( "==>  5x - 2(3 + 5x) = -5\r<BR>\n" );
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document.write( "==> 5x - 2*3 - 2*5x = -5\r<BR>\n" );
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document.write( "==> 5x - 6 - 10x = -5\r<BR>\n" );
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document.write( "==> 5x - 10x - 6 = -5\r<BR>\n" );
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document.write( "==> -5x - 6 = -5\r<BR>\n" );
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document.write( "Add 6 to both sides of the equation....\r<BR>\n" );
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document.write( "==> -5x - 6 + 6 = -5 + 6\r<BR>\n" );
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document.write( "==> -5x = 1\r<BR>\n" );
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document.write( "Divide both sides by -5\r<BR>\n" );
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document.write( "==> -5x/-5 = 1/-5\r<BR>\n" );
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document.write( "==> x = -1/5\r<BR>\n" );
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document.write( "Now put the value of x in (3)\r<BR>\n" );
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document.write( "==> y = 3 + 5(-1/5)\r<BR>\n" );
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document.write( "==> y = 3 + (-1)\r<BR>\n" );
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document.write( "==> y = 2\r<BR>\n" );
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document.write( "So we have ,\r<BR>\n" );
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document.write( "x = -1/5  and \r<BR>\n" );
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document.write( "y = 2\r<BR>\n" );
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document.write( "To check your answer, substitute these values in the first equation then you will find it satisfies  the equation.\r<BR>\n" );
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document.write( "Hope you found the explanation useful...\r<BR>\n" );
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document.write( "Regards.\r<BR>\n" );
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document.write( "Praseena.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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