document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122286>Question 1122286</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2 LINEAR EQUATIONS IN 2 UNKNOWNS or SIMULTANEOUS LINEAR EQUATIONS IN 2 UKNOWNS\r<BR>\n" );
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document.write( "The sum of the digits of a two digit number is 14. When the digit are reversed, the resulting number is 23 less than two times the original number. What is the number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #738361 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=738361\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) x +y = 14<BR>\n" );
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document.write( "2) 10y +x = 2(10x +y) -23<BR>\n" );
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document.write( "simplify equation 2<BR>\n" );
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document.write( "10y +x = 20x +2y -23<BR>\n" );
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document.write( "3) 19x -8y = 23<BR>\n" );
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document.write( "solve equation 1 for x and substitute in equation 3<BR>\n" );
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document.write( "19(14-y) -8y = 23<BR>\n" );
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document.write( "266 -19y -8y = 23<BR>\n" );
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document.write( "-27y = -243<BR>\n" );
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document.write( "y = 9<BR>\n" );
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document.write( "x = 14 -9 = 5<BR>\n" );
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document.write( "x = 5 and y = 9 and the number is 59<BR>\n" );
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document.write( "check the answer<BR>\n" );
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document.write( "95 = 2(59) -23<BR>\n" );
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document.write( "95 = 95<BR>\n" );
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