Final answer:
The given system of equations is dependent, with infinitely many solutions.
Step-by-step explanation:
The given system of equations is:
2x + 5y = -9
-4x - 10y = 18
To determine if the system is dependent, we can check if one equation is a multiple of the other. Let's multiply the first equation by 2:
4x + 10y = -18
By comparing this equation with the second equation, we can see that they are identical. Therefore, the system is dependent.
The solution set of a dependent system is infinitely many solutions. In this case, we can express the solution set as:
x = t
y = -4 - t/2
where t is any real number.
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