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

yes

Step-by-step explanation: