How would you solve this using elimination method

5x = 10 - 10y
12x + 3y = 6

is there multiple solutions, no solutions? or is there one solution?

5x = 10 - 10y
12x + 3y = 6

5x + 10y = 10 <<<< x 3
12x + 3y = 6 <<<< x -10

15x + 30y = 30
-120x -30y = -60

-105x = -30

x = 2/7 sub in to get y

5(2/7) + 10y = 10
10/7 + 10y = 10
10y = 60/7
y = 6/7

so x = 2/7 and y = 6/7

I would shoot 10, 12x , then 3y ,-10y and 6 .
5x survived the whole ordeal so that must be the answer!