Solve the system equations and choose the correct ordered pair

3x+2y=12

6x+3y=21

(2, 3).

Step-by-step explanation:

3x+2y=12

6x+3y=21 Multiply the first equation by 3 and the second by 2:

9x + 6y = 36

12x + 6y = 42 Subtract:

-3x = - 6

x = - 6/-3 = 2.

Plug x = 2 into the first equation:

3 (2) + 2y = 12

2y = 12 - 3 (2)

2y = 6

y = 3.