2x + y = 20

6x - 5y = 12

5 (2x + y = 20) = (10x + 5y = 100)

(10x + 5y = 100) + (6x - 5y = 12) = 16x = 112

112/16 = 7

The final answer is 7.

Rearrange the first equation

2x + y = 20

take away 2x from both sides

y = 20 - 2x

substitute this y value into the second equation

6x - 5 (20 - 2x) = 12

6x - 100 + 10x = 12

add 100 to both sides

6x + 10x = 112

16x = 112

divide both sides by 16

x = 7

Substitute this x value into the first equation to get y.

2 (7) + y = 20

14 + y = 20

take away 14 from both sides

y = 6

So, y = 6 and x = 7