Using Elimination Method, How do I solve

4x + 6y = 6    (1)
3x - 3y =12   (2)       multiply this equation by 2  →   6x - 6y   = 24    (3)

Add equation 3 to equation 1

10x   =  30        divide both sides by 10

x  = 3    substitute this into any equation to find y  [ I'll use 2 ]

3(3) - 3y   = 12

9 - 3y   = 12       add 3y to both sides, subtract 12 from both sides

-3 =  3y               divide both sides by  3

-1  = y

So   {x , y }   =   { 3, -1 }