First get the centre of the circle;
2x+(1+x)=3
3x=2
X=2/3
Y=1+2/3
Y=5/3
Now we know that the radius of a circle meets perpendicular to a tangent so we get the gradient of of the radius which is center to the point (1,-1) then get the negative inverse of it;
−1−531−23=grad
Grad=−8
Grad of tangent=1/8
So the equation of the tangent :
Y+1=(x−1)8
Y=x−98