document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=827660>Question 827660</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 65 and their difference is 5. What are the two numbers? Write answer as an ordered pair: (x, y)<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 #498805 by </B><A HREF=/tutors/aboutme.mpl?userid=sheldonbbtrocks><B>sheldonbbtrocks(115)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sheldonbbtrocks><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=sheldonbbtrocks><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=498805\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a basic systems of equations problem.\r<BR>\n" );
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document.write( "1. Write the problem in 2 equations:\r<BR>\n" );
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document.write( "x+y=65<BR>\n" );
document.write( "x-y=5\r<BR>\n" );
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document.write( "Assuming x is the larger number and y is the smaller number\r<BR>\n" );
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document.write( "2. Cancel either the x's or y's multiply an equation if necessary:\r<BR>\n" );
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document.write( "We don't need to multiply any equations, because the y's already cancel to 0. We can now add the x's and the numbers on the outside:\r<BR>\n" );
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document.write( "2x=70\r<BR>\n" );
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document.write( "Solve for x\r<BR>\n" );
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document.write( "x=35\r<BR>\n" );
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document.write( "3. Substitute x=35 into any of the original equations (let's do the first one):\r<BR>\n" );
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document.write( "35+y=65\r<BR>\n" );
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document.write( "Solve for y:\r<BR>\n" );
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document.write( "y=65-35\r<BR>\n" );
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document.write( "y=30\r<BR>\n" );
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document.write( "4: Check\r<BR>\n" );
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document.write( "35+30=65<BR>\n" );
document.write( "35-30=5\r<BR>\n" );
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document.write( "Both equations are correct!\r<BR>\n" );
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document.write( "Therefore, your ordered pair is [(35,30)] </SPAN>\n" );
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