Can someone please tell if i am doing this right! Please!

x + Y = 6

2x + y =8

2x + y = 8

x + y = 6

x = -y + 6

2 (-y + 6) + y = 8

2y + 12 + y = 8

3y + 12 = 8

3y = - 4

y = -4/3

X = -y + 6

X = -(-4/3) + 6

x = 4/3 + 6

x = 4/3 + 6

{( 12, 4/3 +6 )}