When solving the system of equations by graphing, what is the solution of 3x + 2y = 2 and 2x - y = 6?

A.

(-2, 2)

B.

(2, - 2)

C.

(-2, - 2)

D.

(2, 2)

3x + 2y = 2

2x - y = 6 so y = 2x - 6

replace y = 2x - 6 into 3x + 2y = 2

3x + 2y = 2

3x + 2 (2x - 6) = 2

3x + 4x - 12 = 2

7x = 14

x = 2

y = 2x - 6

y = 2 (2) - 6

y = 4 - 6

y = - 2

so x = 2 and y = - 2

answer is B.

(2, - 2)