Use an inverse matrix to solve for the system of equations. 4y+7z=14 −6x−2z=10 x

Question

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]

in progress 0
Maria 2 weeks 2021-09-11T00:54:34+00:00 1 Answer 0

Answers ( )

  1. Ava
    0
    2021-09-11T00:56:24+00:00

    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)

    have a good day!

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45:7+7-4:2-5:5*4+35:2 =? ( )