6x - 12y = 24 -------------(1)
-× - 6y = 4------------------(2)
Elimite x
Multiply equation (2) by 6
( -x - 6y = 4 ) x 6
-6x -36y = 24
6x - 12y = 24--------------------(1)
-6x -36y = 24---------------------(2)
add both equations together to eliminate x
6x + ( -6x) -12y + (-36y) = 24 + 24
6x - 6x -12y - 36y = 48
-48y = 48
y = 48/-48
y = -1
substitute y = -1 into equation (1)
6x - 12y = 24
6x -12(-1) = 24
6x + 12 =24
6x = 24 -12
6x = 12
x = 12/6
x = 2
Hence, x = 2 , y = -1