Justin has only nickels and quarters in his piggy bank he's 49 coins total for combined value of $8.85 how many of each type of coin does he have

17 nickels and 32 quarter.

Here's my work!

x = nickels

y = quarters

x + y = 49

.05x +.25y = 8.85

x + y = 49. = y = - x + 49

.05x +.25 (-x + 49) = 8.85

.05x + -.25x + 12.25 = 8.85

-.2x + 12.25 = 8.85

- 12.25. - 12.25

-.2x = - 3.4

:-.2x. : -.2x

x=17

x + y = 49

17 + y = 49

-17. - 17

y=32