Solve the following system by the comparison method.

2p + q = 1

9p + 3q + 3 = 0

What is the solution set?

{ (-2, 5) }

{ (2, - 5) }

{ (-2, - 5) }

2p + q = 1

9p + 3q + 3 = 0

q = 1 - 2p

replace q = 1 - 2p into 9p + 3q + 3 = 0

9p + 3 (1 - 2p) + 3 = 0

9p + 3 - 6p + 3 = 0

3p + 6 = 0

3p = - 6

p = - 2

q = 1 - 2p

q = 1 - 2 (-2)

q = 1 + 4

q = 5

(-2, 5)

answer

{ (-2, 5) } first one