The sum of p, q, and y in the system of linear equations equals 13.5.
The question is asking to solve a system of linear equations and find the sum p + q + y. The equations given are:
y + 2q = 15
q + 2p = 5
p + 2y = 7
To solve this system, we add up all three equations to eliminate the constants and isolate the variables:
(y + 2q) + (q + 2p) + (p + 2y) = 15 + 5 + 7
This simplifies to 2p + 3q + 3y = 27. We can simplify further to find a single equation:
2(p + q + y) = 27
Dividing both sides by 2, we get:
p + q + y = 13.5
The sum of p, q, and y is 13.5.
By solving the system of equations, we find that the value of p + q + y is approximately 9.01.
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