Question 758075
x = dime
y = nickel
  x +  y = 34.......1
10x + 5y = 250.....2
Multiply (1) by 5
5x + 5y = 170 ......3
10x + 5y = 250......2
Subtract (3) from (2)
5x      =  80
 x      =  16.
Substitute x = 16 in (10
 x + y = 34
16 + y = 34
     y = 34 - 16
     y = 18
Therefore we have 16 dimes
and 18 nickels
Hope this helps.
:-)