Seems so

i solved it and my solutions are

y= 0 , x= 2 u= - 28/3 , lambda= 10/3

y= 3, x= -1 , u = - 2/3 , lambda= 2/3

However, Im not sure about this: 2*x-lambda2*x - u = 0

I think it is 2x-2*lambda*x - u=0

Otherwise lambda2 could be a variable lambda_2