Let get x from the first equation
-4x=+2y-10
x=-1/2y + 5/2
Now substitute the x in the second equation
3(-1/2y+5/2)+y=4
-3/2y + 15/2 + y =4
Move the terms without the y to the other side
-3/2y + y = -15/2 +4
Now multiple both side by 2
-3y +2y = -15+8
-y = -7
Y = 7 (ANSWER)
Now we substitute the y in the first equation so we can get the x
x = -1/2 (7) + 5/2
x = -7/2 + 5/2
x = -2/2
X = -1 (SECOND ANSWER)