would you please check my work and make changes for errors? thanks ann

Question

problem: joe bought 3- topping sundae for 15.25 and a 5 topping sundae for 17.75.
write and solve a system of linear equations to find price of each topping and a plain sundae(no toppings).

I wrote:
x + 5y = 17.75
-x+ -3y= 15.25
2y = 2.50
y = 1.25 price per topping

x = 15.25 - 3(1.25)
x = 15.25 - 3.75
x = 11.50 price per plain sundae