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Use an inverse matrix to solve for the system of equations.

4y+7z=14



−6x−2z=10



x+2y+8z=−3



*This question is worth four points. In order to receive full credit, you must show your work or justify your answer.



[0 5 −3]



[−24 −4]



[−17 −2]



[−4 3 1]

Respuesta :

chudung1976

Answer:

(-1, 7, 2)

Step-by-step explanation:

we suppose that ax + by + cz = d for the matrix

D = det [ 0    4     7] = 100

              -6   0    -2

               1    2     8

Dx= det [ 14    4     7] = - 100

               10   0    -2

               -3    2     8

Dy= det [ 0    14    7] = 700

               -6   10    -2

                1    -3    8

Dz = det [ 0    4    14] = 200

               -6   0     10

                1    2     -3

So the solution is:

x = Dx/D = -1, y = Dy/D= 7, z =Dz/D = 2

(-1, 7, 2)

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