Solve for x and y

Here is an easy way:   Substitute in the given x,y value choices to see which set 'works'

Just solve the systems (I will be using elimination):

3x + 2y = 16
-2(7x + 1y) = -2(19)

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3x+2y=16
-14x -2y = -38

-11x = -22

x = 2

y = 5

(2,5)

Your answer is therefore B.