# Math Help - 4 equations in 4 unknows. help??

1. ## 4 equations in 4 unknows. help??

Hello im trying to do a Lagrange multipliers problem with 2 constraints. I get 4 equations..

2*x-lambda2*x - u = 0
2y-6-lambda - u =0
y+x^2 -4 =0
y+x-2=0

so then i solve and i get x=2,y=0, x=-1, y=3 .. So then i solved for equation 2 and got .. = u = -lambda. Now what do i do is this even right so far?

2. 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