document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=60448>Question 60448</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me to answer this question \"What is x and y for the term 9x+y=10 and x+4y=5 using the substitution?\" And please teach how to solve it step by step... Please... <<<thank you>>><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 #41543 by </B><A HREF=/tutors/aboutme.mpl?userid=praseena><B>praseena(37)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=praseena><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=41543\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "Solution:\r<BR>\n" );
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document.write( "Here the equations are,<BR>\n" );
document.write( "9x+y=10 and<BR>\n" );
document.write( "x+4y=5\r<BR>\n" );
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document.write( "method of substitution:\r<BR>\n" );
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document.write( "consider the first equation,(also you can consider the second equation)\r<BR>\n" );
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document.write( "let us tAke the first one\r<BR>\n" );
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document.write( "9x+y=10\r<BR>\n" );
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document.write( "subtract  9x  from both sides.\r<BR>\n" );
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document.write( "==> 9x + y - 9x = 10 - 9x\r<BR>\n" );
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document.write( "==>  y = 10 - 9x\r<BR>\n" );
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document.write( "here we got the value of 'y' in terms of x. \r<BR>\n" );
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document.write( "right?\r<BR>\n" );
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document.write( "now substitute this value of y in the second equation.\r<BR>\n" );
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document.write( "that is     x + 4 * ( 10 - 9x ) = 5\r<BR>\n" );
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document.write( "            x + 4 * 10 - 4 * 9x = 5<BR>\n" );
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document.write( "                   x + 40 - 36X = 5\r<BR>\n" );
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document.write( "Subtract 40 from both sides of the equation\r<BR>\n" );
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document.write( "==> x + 40 - 36x - 40 = 5 - 40\r<BR>\n" );
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document.write( "==> x - 36x = -35\r<BR>\n" );
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document.write( "==>    -35x = -35\r<BR>\n" );
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document.write( "now divide both sides of the equation by -35\r<BR>\n" );
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document.write( "==>  x = 1\r<BR>\n" );
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document.write( "understood?\r<BR>\n" );
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document.write( "now  substitute this value of  'x' , in the expression, y = 10 - 9x\r<BR>\n" );
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document.write( "==> y = 10 - 9 * 1\r<BR>\n" );
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document.write( "==> y = 10 - 9 \r<BR>\n" );
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document.write( "      =1\r<BR>\n" );
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document.write( "so the solution for the equations in\r<BR>\n" );
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document.write( "x=1<BR>\n" );
document.write( "y=1<BR>\n" );
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