document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=63065>Question 63065</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072549017/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following systems by substitution.<BR>\n" );
document.write( "5x - 2y = -5<BR>\n" );
document.write( "y - 5x = 3<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 #43870 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=43870\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the following systems by substitution.<BR>\n" );
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( "(2)==>  y - 5x = 3 <BR>\n" );
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document.write( "add  5x on both sides of the expression.\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\r<BR>\n" );
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document.write( "Now substitute this value of y in the first equation\r<BR>\n" );
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document.write( "==> 5x - 2(3 + 5x ) = -5<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 on both sides of the expression,\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 substitute the values of x in  y =  3 + 5x\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 the solution is  x = -1/5  and  y = 2\r<BR>\n" );
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document.write( "Hope you understood the problem.\r<BR>\n" );
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document.write( "Regards.\r<BR>\n" );
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document.write( "praseenakos@yahoo.co.in\r<BR>\n" );
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