Start with x=y+13 then plug it in so you get 4(y+13) + 2y = 10
Then you get 4y + 52 +2y =10
Then you add you similarities to get 6y + 52= 10
Subtract 52 from both sides gets you 6y=-42. Then you divide and you get y=-7.
Then you plug that into your original equation so 4x + 2(-7) = 10
4x + -14 = 10
4x = 24
X= 6
Y= -7