Question

If 2x – y = 2 and 5x + 2y = 14, then the value of x + y is :-

(i) 2

(ii) 3
(iii) 0
(iv) 4

which option is correct​

Answer 1

$Given \: 2x - y = 2 \: --(1) \:and \: 5x + 2y = 14 \: --(2)$

/* Multiplying equation (1) by 2 and add equation (2) , we get */

$2(2x-y) + 5x + 2y = 4 + 14$

$\implies 4x - 2y + 5x + 2y = 18$

$\implies 9x = 18$

$\implies x = \frac{18}{9}$

$\implies x = 2$

Therefore.,

$Option \: \pink { ( i ) } \: is \: correct.$

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