document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=607061>Question 607061</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve this problem.\r<BR>\n" );
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document.write( "Eva is 2 years older than Julienne. The sum of their ages is 20. Find their present ages. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #382350 by </B><A HREF=/tutors/aboutme.mpl?userid=sophxmai><B>sophxmai(62)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sophxmai><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=sophxmai><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=382350\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Eva is 2 years older than Julienne. The sum of their ages is 20. Find their present ages.\r<BR>\n" );
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document.write( "Let:<BR>\n" );
document.write( "Eva's age = x<BR>\n" );
document.write( "Julienne's age = y\r<BR>\n" );
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document.write( "x+y=20 <--the sum of their ages is 20<BR>\n" );
document.write( "x-2=y <--Eva is 2 years older than Julienne\r<BR>\n" );
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document.write( "You can solve this system by either adding/subtracting or substituting.\r<BR>\n" );
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document.write( "Adding/Subtracting:\r<BR>\n" );
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document.write( "x+y=20<BR>\n" );
document.write( "x-2=y\r<BR>\n" );
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document.write( "Rearrange the 2nd equation<BR>\n" );
document.write( "x-2=y becomes x-y=2<BR>\n" );
document.write( "So now we have\r<BR>\n" );
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document.write( "x+y=20<BR>\n" );
document.write( "x-y=2<BR>\n" );
document.write( "Now add the equations, you will get<BR>\n" );
document.write( "2x=22<BR>\n" );
document.write( "Now solve...<BR>\n" );
document.write( "2x=22<BR>\n" );
document.write( "x=11\r<BR>\n" );
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document.write( "Now that you have x, plug it into one of the equations to solve for y\r<BR>\n" );
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document.write( "x-y=2<BR>\n" );
document.write( "11-y=2<BR>\n" );
document.write( "11-2=y<BR>\n" );
document.write( "9=y\r<BR>\n" );
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document.write( "Since x=11 and y=9<BR>\n" );
document.write( "Eva's age is 11 and Julienne's age is 9\r<BR>\n" );
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document.write( "Substituting:\r<BR>\n" );
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document.write( "x+y=20<BR>\n" );
document.write( "x-2=y\r<BR>\n" );
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document.write( "Since the 2nd equation is already arranged in a way that a variable = something... substitute it into the 1st equation.<BR>\n" );
document.write( "x+y=20<BR>\n" );
document.write( "x+(x-2)=20<BR>\n" );
document.write( "x+x-2=20<BR>\n" );
document.write( "2x-2=20<BR>\n" );
document.write( "2x=22<BR>\n" );
document.write( "x=11\r<BR>\n" );
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document.write( "Now that you have 11, plug x into your 2nd equation<BR>\n" );
document.write( "x-2=y<BR>\n" );
document.write( "11-2=y<BR>\n" );
document.write( "9=y\r<BR>\n" );
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document.write( "Since x=11 and y=9<BR>\n" );
document.write( "Eva's age is 11 and Julienne's age is 9<BR>\n" );
document.write( " </SPAN>\n" );
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