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Solve the pair of equation for x and y respectively \(2x^{-1...

Solve the pair of equation for x and y respectively 2x13y1=4;4x1+y1=1

A.

-1, 2

B.

1, 2

C.

2, 1

D.

2, -1

Correct answer is D

2x13y1=4;4x1+y1=1

Let x1 = a and y1= 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 = 714 = 12

From (i), 3b = 2a - 4

3b = 1 - 4

3b = -3

∴ b = -1

From substituting, 21=x1

∴ x = 2

y1=1,y=1