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Mathematics

A pair of linear equations which has a unique solution x = 2, y = -3 is

  1. x + y = -1
    2x - 3y = -5

  2. 2x + 5y = -11
    4x + 10y = -22

  3. 2x - y = 1
    3x + 2y = 0

  4. x - 4y - 14 = 0
    5x - y - 13 = 0

Linear Equations

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Answer

Substituting x = 2, y = -3 in x - 4y - 14 = 0 we get,

= 2 - 4(-3) - 14

= 2 + 12 - 14

= 0.

Substituting x = 2, y = -3 in 5x - y - 13 = 0 we get,

= 5(2) - (-3) - 13

= 10 + 3 - 13

= 13 - 13

= 0.

Hence, Option 4 is the correct option.

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