Answer:
p = 1/2 and q = 1
Step-by-step explanation:
2p + q = 2 and p - q = -1/2 (Multiply through by 2)
2p + q = 2 and 2p - 2q = - 1
2p + q = 2 ... (1)
2p - 2q = - 1 ... (2)
Equation (1) - (2)
q -(-2q) = 2 - (-1)
q + 2q = 2 + 1
3q = 3 Divide both sides by 3
q = 1
Substitute q = 1 in equation (1)
2p + 1 = 2
2p = 2 - 1
2p = 1 Divide both sides by 2
p = 1/2
Therefore,
p = 1/2 and q = 1
