At a ceramic shop, each cup is $6.30 cheaper than each plate. if you totally spent $28.50 for 5 cups and 3 plates, what is the price of each cup and each plate?

Let
x> the price of each cup
y> the price of each plate

we know that

5x+3y=28.50> equation 1
and
x=y-6.30> equation 2

I substitute 2 in 1
5*(y-6.30)+3y=28.50> 5y-31.5+3y=28.5> 8y=60
y=7.5
x=y-6.3> x=7.5-6.3> x=1.2

the answer is
the price of each cup is $1.2
 the price of each plate is $7.5