Q/2 - p/3 = 1/6
p/2 - q/6 = 5

p = 13, q = 9

Step-by-step explanation:

Given the 2 equations

- = ( multiply through by 6 to clear the fractions )

3q - 2p = 1 → (1)

- = 5 ( multiply through by 6 to clear the fractions )

3p - q = 30 , that is

- q + 3p = 30 → (2)

Multiplying (2) by 3 and adding to (1) eliminates the term in q

- 3q + 9p = 90 → (3)

Add (1) and (3) term by term to eliminate q

7p = 91 ( divide both sides by 7 )

p = 13

Substitute p = 13 into (2) for corresponding value of q

- q + 3(13) = 30

- q + 39 = 30 ( subtract 39 from both sides )

- q = - 9 ( multiply both sides by - 1 )

q = 9

Thus p = 13 and q = 9

2? if not the correct answer you might need to provide more information

step-by-step explanation: