Mathematics

The solution of the pair of linear equations 2x - y = 5 and 5x - y = 11 is 1. x = -1, y = 2 2. x = 2, y = -1 3. x = 0, y = -5 4. x = , y = 0

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Given,

2x - y = 5 ……(i)

5x - y = 11 …..(ii)

Subtracting eq. (i) from (ii) we get,

⇒ 5x - y - (2x - y) = 11 - 5

⇒ 5x - y - 2x + y = 6

⇒ 3x = 6

⇒ x = 2.

Substituting value of x in eq. (i),

⇒ 2(2) - y = 5

⇒ 4 - y = 5

⇒ y = 4 - 5

⇒ y = -1.

Hence, Option 2 is the correct option.

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