    Question

# 2a(2p−q)=1, p=2q−1 Consider the system of equations above, where a is a constant. For which value of a is (p,q)=(1,1) a solution?

A

2

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B
12
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C
12
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D
None of the above
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Solution

## The correct option is B 12[Beware of option D we need to check whether given values satisfy the system ] We should first substitute (1, 1) in to the second equation to see it (1, 1) is a possible solution p=2q−1 1=2(1)−1 1 = 1 Because the second equation created a true statement, we proceed by substituting (1, 1) into the first equation. 2a(2(1)−1)=1 2a(2−1)=1 2a=1 a=12  Suggest Corrections  0      Similar questions
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