Use the elimination method to solve the system of equations. 3x+2y=16 2x-2y=4

x = 4; y = 2

Step-by-step explanation:

(1) 3x + 2y = 16

(2) 2x - 2y = 4 Add (1) and (2)

5x = 20 Divide each side by 5

(3) x = 4 Substitute (3) into (2)

2*4 - 2y = 4

8 - 2y = 4 Subtract 16 from each side

-2y = - 4 Divide each side by - 2

y = 2

Check:

(1) 3*4 + 2*2 = 16

12 + 4 = 16

16 = 16

(2) 2*4 - 2*2 = 4

8 - 4 = 4

4 = 4

Answer: (4,2)