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Manipulation of a linear equation

If 3 x=1, wha...

Question

If 3x = 1, what is the value of 6x - 2 ?

A

1

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B

2

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C

3

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Solution

Given 3x = 1

Instead of calculating x, observe that 6x = 2(3x)

So, 6x - 2 = 2(3x)-2

But 3x=1.

So, 6x - 2 = 2(3x) - 2

= 2(1)-2

= 0

Hence, A is the answer.

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Manipulation of a linear equation

Standard XII Mathematics

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