Answer:
The solution to the system of equations
Hence, the value of q = -50
Explanation:
Given the system of equations

solving to determine the value of q
Multiply p − 4q = 200 by 16:


so adding the equations




so

solve -66q = 3300

Divide both sides by -66


substituting q = -50 in −16p − 2q = 100


Subtract 100 from both sides

Simplify

Divide both sides by -16


Thus, the solution to the system of equations
Hence, the value of q = -50