Acollection of nickels, dimes, and quarters consist of 15 coins with a total of $2.00. if the number of dimes is equal to the number of nickels, find the number of each type of coins

Let = number of nickels
Let = number of dimes
Let = number of quarters

(1)
(2) ( in cents )
(3)

This is 3 equations and 3 unknowns,
so it's solvable
Substitute (3) into both (1) and (2)
(1)
(2)

(1)
(2)
multiply both sides of (1) by
and subtract (2) from (1)