Home » Solve the pair of equation for x and y respectively (2x^{-1} – 3y^{-1} = 4; 4x^{-1} +…

Solve the pair of equation for x and y respectively (2x^{-1} – 3y^{-1} = 4; 4x^{-1} +…

Solve the pair of equation for x and y respectively (2x^{-1} – 3y^{-1} = 4; 4x^{-1} + y^{-1} = 1)

  • A.
    -1, 2
  • B.
    1, 2
  • C.
    2, 1
  • D.
    2, -1
Correct Answer: Option D
Explanation

(2x^{-1} – 3y^{-1} = 4; 4x^{-1} + y^{-1} = 1)

Let (x^{-1}) = a and (y^{-1})= b

2a – 3b = 4 …….(i)

4a + b = 1 ………(ii)

(i) x 3 = 12a + 3b = 3……..(iii)

2a – 3b = 4 ………..(i)

(i) + (iii) = 14a = 7

∴ a = (frac{7}{14}) = (frac{1}{2})

From (i), 3b = 2a – 4

3b = 1 – 4

3b = -3

∴ b = -1

From substituting, (2^{-1} = x^{-1})

∴ x = 2

(y^{-1} = -1, y = -1)