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Solve the following simultaneous equations: x+ y = 3/2; x...

Solve the following simultaneous equations: x+ y = 3/2; x - y = 5/2 and use your result to find the value of 2y + x

A.

-2

B.

-1

C.

1/2

D.

1

E.

31/2

Correct answer is D

x + y = 32 ... (i)

x - y = 52 ... (ii)

(i) - (ii):

2y = 22 = -1

y = 12

x + y = 32

x - 12 = 32

x = 32+12

= 42

x = 2

2y + x = 2(-\frac{1}{2}) + 2

= -1 + 2 = 1.