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If 2x - 3y = -11 and 3x + 2y = 3, evaluate (yx)2...

If 2x - 3y = -11 and 3x + 2y = 3, evaluate (yx)2

A.

16

B.

25

C.

9

D.

4

Correct answer is A

2x - 3y = -11 --- (i)
3x + 2y = 3 --- (ii)
Multiply equation (i) by 3 and equation (ii) by 2
6x - 9y = -33 --- (iii)
6x + 4y = 6 --- (iv)
Subtract equation (iii) from (iv)
13y = 39

y = 3913 = 3 

substitute (3) for y in equation (ii)
3x + 2(3) = 3
3x + 6 = 3
3x = 3 - 6
3x = -3
x  = 33 = - 1

Now,
(yx)2=(3(1))2
= (3+1)2
= 42
= 16