document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=142764>Question 142764</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I know how to solve a linear equation with three variables by using two of the three equations to eliminate one variable and then use a different pair of equations to eliminate the same variable and then you can solve those equations. I am doing some word problems and writing the first two equations with three unknown variables is easy but I cannot seem to write the third.\r<BR>\n" );
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document.write( "Mike has 19 coins (nickels, dimes and quarters) in his piggy bank with a  total value of $2.35. There are 2 more dimes than nickels. How many of each type does Mike have?\r<BR>\n" );
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document.write( "N+D+Q=19<BR>\n" );
document.write( "5N+10D+25Q=235<BR>\n" );
document.write( "?\r<BR>\n" );
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document.write( "With the first two I can multiply the first by –5 to eliminate N. I need another equation. Help?\r<BR>\n" );
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document.write( "Fred, Tiger and Nancy play a round of golf together. Their combined score is 223. Fred’s score was 3 more than Nancy’s and Tiger’s score was 7 more than Fred’s. What was each person’s score. \r<BR>\n" );
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document.write( "You would think something simple like<BR>\n" );
document.write( "F=N+3<BR>\n" );
document.write( "T=F+7<BR>\n" );
document.write( "223=T+F+N\r<BR>\n" );
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document.write( "But I need three equations with three unknown variables. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #103872 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=103872\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Mike has 19 coins (nickels, dimes and quarters) in his piggy bank with a total value of $2.35. There are 2 more dimes than nickels. How many of each type does Mike have? <BR>\n" );
document.write( "N+D+Q=19<BR>\n" );
document.write( "5N+10D+25Q=235<BR>\n" );
document.write( "?<BR>\n" );
document.write( "Comment:<BR>\n" );
document.write( "\"There are 2 more dimes than nickels.\"<BR>\n" );
document.write( "D = N+2<BR>\n" );
document.write( "or<BR>\n" );
document.write( "N -D -0 = -2<BR>\n" );
document.write( "This is your 3rd equation \r<BR>\n" );
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document.write( "Fred, Tiger and Nancy play a round of golf together. Their combined score is 223. Fred’s score was 3 more than Nancy’s and Tiger’s score was 7 more than Fred’s. What was each person’s score. <BR>\n" );
document.write( "You would think something simple like<BR>\n" );
document.write( "F=N+3<BR>\n" );
document.write( "T=F+7<BR>\n" );
document.write( "223=T+F+N <BR>\n" );
document.write( "But I need three equations with three unknown variables.<BR>\n" );
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document.write( "T + F + N = 223<BR>\n" );
document.write( "0 + F - N = 3<BR>\n" );
document.write( "T - F + 0 = 7<BR>\n" );
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document.write( "These are your three equations.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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