document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=81324>Question 81324</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0030651794/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 4x-3y=33<BR>\n" );
document.write( "x=-4y-25 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #58266 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=58266\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> QUESTION:\r<BR>\n" );
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document.write( "4x-3y=33<BR>\n" );
document.write( "x=-4y-25\r<BR>\n" );
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document.write( "ANSWER:\r<BR>\n" );
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document.write( "4x-3y=33------------------(1)\r<BR>\n" );
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document.write( "The second equation,x=-4y-25 can be written as,\r<BR>\n" );
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document.write( "x=-4y-25\r<BR>\n" );
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document.write( "==> x + 4y = -25 ----------------(2)\r<BR>\n" );
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document.write( "Multiply equation(2) with 4 so that coefficient of becoma same in both the equations(You can make coeffeicient of y same and can follow the following procedure.)\r<BR>\n" );
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document.write( "==> 4(x + 4y ) = 4* -25\r<BR>\n" );
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document.write( "==> 4x  + 16y = -100 ----------------------(3)\r<BR>\n" );
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document.write( "Now we have,\r<BR>\n" );
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document.write( "4x - 3y = 33------------------(1)\r<BR>\n" );
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document.write( "4x  + 16y = -100 ----------------------(3)\r<BR>\n" );
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document.write( "Subtract (3) from (1)\r<BR>\n" );
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document.write( "==> 4x - 3y - ( 4x + 16y ) = 33 - (-100)\r<BR>\n" );
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document.write( "==> 4x - 3y - 4x - 16y  = 33 + 100\r<BR>\n" );
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document.write( "==> -19y = 133\r<BR>\n" );
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document.write( "Divide both sides by -19\r<BR>\n" );
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document.write( "==> -19y/-19 = 133/-19\r<BR>\n" );
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document.write( "==> y = -7\r<BR>\n" );
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document.write( "Now substitute this value in any of the given equations.....\r<BR>\n" );
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document.write( "Lets take (1)\r<BR>\n" );
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document.write( "==> 4x - 3 (-7) =33\r<BR>\n" );
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document.write( "==> 4x + 21 = 33\r<BR>\n" );
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document.write( "Subtract 21 from both sides....\r<BR>\n" );
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document.write( "4x + 21 -21 = 33 - 21\r<BR>\n" );
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document.write( "==> 4x = 12\r<BR>\n" );
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document.write( "Divide both sides by 4\r<BR>\n" );
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document.write( "==> 4x/4 = 12/4\r<BR>\n" );
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document.write( "==> x = 3\r<BR>\n" );
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document.write( "so the solution is,\r<BR>\n" );
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document.write( "x = 3 and y = -7\r<BR>\n" );
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document.write( "Hope you found this method 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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