If the lines px = 12 and 2x + qy = 10 intersects at (1, 1), what is the value of p + q?

p + q = 20

Step-by-step explanation:

Given the lines intersect at (1, 1) then x = 1 and y = 1 make the equations true.

Consider

px = 12 with x = 1

p = 12

Consider

2x + qy with x = 1 and y = 1

2 + q = 10 (subtract 2 from both sides)

q = 8

Hence p + q = 12 + 8 = 20