Answer:
Y =-7 and X -3
Solution:
4x-2y=2
2(2x-y)=2⋅1
2x-y=1
and y+4=x
∴y-x=-4
Suppose,
2x-y=1→(1)
and -x+y=-4→(2)
Taking equation (1), we have
2x-y=1
⇒y=2x-1→(3)
Putting y=2x-1 in equation (2), we get
-x+y=-4
-x+(2x-1)=-4
⇒-x+2x-1=-4
⇒x-1=-4
⇒x=-4+1
⇒x=-3
⇒x=-3→(4)
Now, Putting x=-3 in equation (3), we get
y=2x-1
⇒y=2(-3)-1
⇒y=-6-1
⇒y=-7
∴y=-7andx=-3