Answered

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2p+q=2 and p-q=-1/2 solve using simultaneous equation

Sagot :

olumideolawoyin

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

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