Question 724673
<font face="Times New Roman" size="+2">


Let *[tex \LARGE x] represent the number of nickels, and let *[tex \LARGE y] represent the number of dimes.  Since there are 31 coins:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ +\ y\ =\ 31]


Since the value of the coins is $2.25, which is the same as 225 cents, the value of a nickel is 5 cents, so the value of *[tex \LARGE x] nickels must be *[tex \LARGE 5x] cents and the value of a dime is 10 cents, so that value of *[tex \LARGE  y] dimes is *[tex \LARGE 10y] cents:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 5x\ +\ 10y\ =\ 225]


Solve the 2X2 system for *[tex \LARGE (x,\,y)] 


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
<font face="Math1" size="+2">Egw to Beta kai to Sigma</font>
My calculator said it, I believe it, that settles it
<div style="text-align:center"><a href="http://outcampaign.org/" target="_blank"><img src="http://cdn.cloudfiles.mosso.com/c116811/scarlet_A.png" border="0" alt="The Out Campaign: Scarlet Letter of Atheism" width="143" height="122" /></a></div>
</font>