Determine the coefficients p, q, and the determinant (delta) of the system:
y1'=y1 + 10y2
Y'2=7y1 - 8y2
Based on these values, what is the type and stability of the critical point?
a.) p=-9, q=9, delta =16, Stable and Node
b.) p=0,q=78, delta =361, Stable and Saddle point
c.) p=-7,q, q= -78, delta = 361, Unstable and node
d.) p=10, q=9, delta =64, Stable and Saddle point