We are given the system of equations:
p = d + 3 ----(1)
p + 2d = 10.50 ----(2)
We can use substitution to solve for the variables. From equation (1), we can see that p = d + 3. We can substitute this expression for p in equation (2) to get:
(d + 3) + 2d = 10.50
Simplifying this equation, we get:
3d + 3 = 10.50
Subtracting 3 from both sides, we get:
3d = 7.50
Dividing both sides by 3, we get:
d = 2.50
Now that we know the value of d, we can substitute this back into equation (1) to solve for p:
p = d + 3
p = 2.50 + 3
p = 5.50
Therefore, the solution to the system is p = 5.50 and d = 2.50.