document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=764802>Question 764802</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of twice a first number and five times a second number is 90. if the second number is subtracted from five times the second number the result is 36. find the numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #466420 by </B><A HREF=/tutors/aboutme.mpl?userid=explodingstxrs><B>explodingstxrs(1)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=explodingstxrs><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=466420\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Are you sure it's \"the  second number is subtracted from five times the second number\"?<BR>\n" );
document.write( "If so; let's make 1st number = A and 2nd number B\r<BR>\n" );
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document.write( "Elimination\r<BR>\n" );
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document.write( "2a + 5b = 90<BR>\n" );
document.write( "5b - b = 36<BR>\n" );
document.write( "--------------------\r<BR>\n" );
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document.write( "2a + 5b = 90...... (1)<BR>\n" );
document.write( "0a + 4b = 36...... (2)<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "In this case, we want to eliminate b (find the value of a) so multiply (1) with 4 and multiply (2) with 5\r<BR>\n" );
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document.write( "8a + 20b = 360<BR>\n" );
document.write( "0a + 20b = 144<BR>\n" );
document.write( "------------------------- -<BR>\n" );
document.write( "8a             = 216<BR>\n" );
document.write( "a               = 27\r<BR>\n" );
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document.write( "Substitute a to (1)<BR>\n" );
document.write( "2(27) + 5b = 90<BR>\n" );
document.write( "54 + 5b = 90<BR>\n" );
document.write( "b = 36/5<BR>\n" );
document.write( "b = 7,2\r<BR>\n" );
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document.write( "Hope this help :-) </SPAN>\n" );
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