Mathematics, 20.09.2019 03:00 Sawas
Find the values of x, y, and λ that satisfy the system of equations. such systems arise in certain problems of calculus, and λ is called the lagrange multiplier. (enter your answers as a comma-separated list. if there is no solution, enter no solution. if the system has an infinite number of solutions, set λ = t and solve for x and y in terms of t.) 4x + λ = 0 4y + λ = 0 x + y − 8 = 0
Answers: 1
λ
λ
![\left[\begin{array}{cccc}4&0&1&0\\0&4&1&0\\1&1&0&8\end{array}\right]](/tpl/images/0245/0500/76f90.png)
![\left[\begin{array}{cccc}1&1&0&8\\0&4&1&0\\4&0&1&0\end{array}\right]](/tpl/images/0245/0500/ca341.png)
![\left[\begin{array}{cccc}1&1&0&8\\0&4&1&0\\0&-4&1&-32\end{array}\right]](/tpl/images/0245/0500/c7e5f.png)
![\left[\begin{array}{cccc}1&1&0&8\\0&4&1&0\\0&0&2&-32\end{array}\right]](/tpl/images/0245/0500/c72a1.png)
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Find the values of x, y, and λ that satisfy the system of equations. such systems arise in certain p...
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