Calculate MIN of "y" with 2 equations and 5 unknown variables

Question

I need help as I am stuck at the follwing: Calculate 5 unknown variables if Y gets to the minimum and only have 2 equations as follow in R.

1) Unknown variables to calculate.

Price_p1
Price_p2
Price_p3
Price_p4
Price_p5
y # Minimum possible value

2)First equation.

y=Price_p1*500+Price_p2*550+Price_p3*900+Price_p4*5+Price_p5*6

3)Second equation

10=(
  ((Price_p1-0.25)*985-0.01)*500+
  ((Price_p2-0.25)*985-0.01)*550+
  ((Price_p3-0.25)*985-0.01)*900+
  (Price_p4-34)*5+
  (Price_p5-24)*6
)/1000