Which of the following pairs of equations have the same solution ?

6 x = 3

and

3 x = 1.5

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8 x = 3

and

4 x = 1

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10 x = 9

and

5 x = 18

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12 x = 6

and

6 x = 6

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Solution

The correct option is B $6 x = 3$ and $3 x = 1.5$
Lets analyse each option,
$6 x = 3$ dividing this equation by 2 on both sides we get $3 x = 1.5 \to T R U E$
$8 x = 3$ dividing this equation by 2 on both sides we get $4 x = 1.5 \neq 1 \to F A L S E$
$10 x = 9$ dividing this equation by 2 on both sides we get $5 x = 4.5 \neq 18 \to F A L S E$
$12 x = 6$ dividing this equation by 2 on both sides we get $6 x = 3 \neq 6 \to F A L S E$

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