document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=19214>Question 19214</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How to determine whether a given ordered pair is a solution of an equation in  two variables<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 #9351 by </B><A HREF=/tutors/aboutme.mpl?userid=mmm4444bot><B>mmm4444bot(95)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mmm4444bot><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=9351\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello There:\r<BR>\n" );
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document.write( "Substitute the values in the ordered pair for their corresponding variables in the equation.  Then do the arithmetic with the equation to see if you end up with a true statement.\r<BR>\n" );
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document.write( "For example, let's use the standard variable names for the ordered pair (x, y).\r<BR>\n" );
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document.write( "Here is an equation containing x and y:\r<BR>\n" );
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document.write( "3*x + 7*y = -4\r<BR>\n" );
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document.write( "Here is a given ordered pair:\r<BR>\n" );
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document.write( "(2, 1)\r<BR>\n" );
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document.write( "We substitute 2 for x and 1 for y in the equation.\r<BR>\n" );
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document.write( "3*2 + 7*1 = -4\r<BR>\n" );
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document.write( "Now do the arithmetic to simplify.\r<BR>\n" );
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document.write( "6 + 7 = -4\r<BR>\n" );
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document.write( "13 = -4\r<BR>\n" );
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document.write( "We ended up with a false statement, so we can say that the ordered pair of coordinates (2, 1) is not a solution to the equation.\r<BR>\n" );
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document.write( "Here's another pair of coordinates:\r<BR>\n" );
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document.write( "(1, -1)\r<BR>\n" );
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document.write( "Substituting, we get the equation:\r<BR>\n" );
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document.write( "3*1 + 7*(-1) = -4\r<BR>\n" );
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document.write( "3 - 7 = -4\r<BR>\n" );
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document.write( "-4 = -4\r<BR>\n" );
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document.write( "This is a true statement, so the ordered pair (1, -1) is a solution.\r<BR>\n" );
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document.write( "~ Mark<BR>\n" );
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