Find values of x, y and λ that satisfy the system These systems arise in certain optimization

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Find values of x, y and λ that satisfy the system These systems arise in certain optimization problems in calculus, and λ is called a Lagrange multiplier.
1.
2x-2λ -0 - y +λ 0 y - x2 = 0

2.

2 + 2y + 21 = 0 2x +1+ λ 0 2х + у — 100 3D 0
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