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Bayes' Theorem

If x + y = ...

Question

If $x + y = 6$ and $3 x - y = 4$ , then $x - y$ is equal to:

- 1

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Solution

The correct option is A $- 1$
Given, $x + y = 6$ ........(i)
and $3 x - y = 4$ ........(ii)
On adding, we get
$4 x = 10$ $\Rightarrow x = \frac{10}{4} = \frac{5}{2}$
Thus from (ii), $y = \frac{15}{2} - 4 = \frac{7}{2}$
Hence, $x - y = \frac{5}{2} - \frac{7}{2} = - 1$

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