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

its a straight line parallel to the time axis

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )