What is the solution of the system? Use the elimination method. 2x+y=20.  6x−5y=12 Enter your answer in the boxes.

Given

2x + y = 20 . . . (1)
6x - 5y = 12 . . . (2)

(1) x 3 ⇒ 6x + 3y = 60 . . . (3)

(2) - (3) ⇒ -8y = -48

⇒ y = -48 / -8 = 6

Substituting for y in (1), we have

2x + 6 = 20
2x = 20 - 6 = 14
x = 14 / 2 = 7.

Therefore, the solution to the system is

x = 7 and y = 6.