Final answer:
To find the value of 2p + q, solve for p and q using the given equations p ÷ 2 = 4 and 2 - q = 4, yielding p = 8 and q = -2, respectively. Then, substitute these values into the expression to get 2(8) + (-2) = 16 - 2 = 14.
Step-by-step explanation:
To solve the problem of finding the value of 2p + q, we need to first find the values of p and q from the given equations. The first equation is p ÷ 2 = 4, which we can solve by multiplying both sides by 2 to get p = 8. The second equation is 2 - q = 4, which we can solve by subtracting 2 from both sides to get q = -2.
Now that we have the values of p and q, we can substitute them into the expression 2p + q to find its value. We get 2(8) + (-2) = 16 - 2 = 14.
Therefore, the value of 2p + q is 14.