we will represent everything in cents
nickles are worth 5 cents and dimes are 10 cents
n=number of nickles
d=number of dimes
60 total coins
n+d=60
total is 430 cents
5n+10d=430
divide both sides by 5
n+2d=86
we gots
n+d=60 and
n+2d=86
eliminate
multiply first equation by -1 and add to 2nd equation
-n-d=-60
n+2d=86 +
0n+1d=26
d=26
so
n+d=60
n+26=60
n=34
34 nickles and 26 dimes
