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Solve the pair of pair of equation for x and y respectively 2x-t - 3y-1 = 4, 4x-...


Question

Solve the pair of pair of equation for x and y respectively 2x-t - 3y-1 = 4, 4x-1 + y-1 = 1

Options

A) -1, 2

B) 1, 2

C) 2, 1

D) 2, -1

The correct answer is D.

Explanation:

2x-t - 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
∴ x = -1
From substituting, 2-1 = x - 1
∴ x = 2
y-1 = -1, y = -1

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Dicussion (1)

  • 2x-t - 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
    ∴ x = -1
    From substituting, 2-1 = x - 1
    ∴ x = 2
    y-1 = -1, y = -1

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