To solve the given equations, we will use the method of elimination.
Given equations:
1) 3p + 2q + 5r = 10
2) 2p - 2q - 5r = 5
We can eliminate the variable q by adding equation 1) and equation 2) together.
(3p + 2q + 5r) + (2p - 2q - 5r) = 10 + 5
This simplifies to:
5p = 15
To solve for p, we divide both sides of the equation by 5:
p = 15/5
Simplifying further, we find:
p = 3
Therefore, the value of p is 3.