2a – 4b = 1, b + 2c = 0 and a=1/2. What is the value of a×b×c ?
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It is given that,
- 2a - 4b = 1
- b + 2c = 0
- a = 1/2
We need to find the value of a × b × c.
We know the value of a. So now let's calculate b and c as well.
Firstly, to calculate the value of b, let's put the value of a in the first equation.
➙ 2(1/2) - 4b = 1
➙ 1 - 4b = 1
➙ - 4b = 0
➙ b = 0
Now, to calculate the value of c, we can put the value of b in the second equation.
➙ 0 + 2c = 0
➙ c = 0
Now, we have :
a = 1/2
b = 0
c = 0
So, abc = 1/2 × 0 × 0 = 0.
Hence, the value of a × b × c = 0.
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