Identify the variable which is best to substitute for when solving with the substitution method: (1)(1)𝑝p==𝑞+5q+5 (2)(2)𝑝+3𝑞p+3q==−11−11

The system of equations given is:

(1) p = q + 5 (2) p + 3q = -11

When using the substitution method, it's best to substitute for the variable that has a coefficient of 1 or -1 in one of the equations, because it makes the algebra simpler. In this case, the variable 'p' in equation (1) is a good choice for substitution because it is already isolated.

So, we substitute p from equation (1) into equation (2):

(q + 5) + 3q = -11

This simplifies the system of equations and allows us to solve for 'q'. Once we find the value of 'q', we can substitute it back into equation (1) to find the value of 'p'.