Solve the system x-2y+2z=9 y+2z=5 z=3 Enter the answer as an ordered triple, (X,Y,Z)

Question

Solve the system x-2y+2z=9 y+2z=5 z=3
Enter the answer as an ordered triple, (X,Y,Z)

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Hưng Khoa 4 years 2021-08-13T12:53:57+00:00 2 Answers 11 views 0

Answers ( )

  1. Bo
    0
    2021-08-13T12:55:20+00:00
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    The answer is (1, -1, 3)

  2. bonexptip
    0
    2021-08-13T12:55:23+00:00
    Reply

    The last equation says z = 3, so that in the second equation we get

    y + 2z = y + 6 = 5   ==>   y = -1

    and in turn, the first equation tells us

    x – 2y + 2z = x + 2 + 6 = x + 8 = 9   ==>   x = 1

    So the solution to the system is (x, y, z) = (1, -1, 3).

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