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10 September, 03:17

What is the solution to the system of equations?

-3x-4y+z=-1

2x+y-z=-8

x+8y-z=23

A. (-3,4,6)

B. (4,-3,-1)

C. (-3,4,8)

D. (3,-4,-6)

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Answers (1)
  1. 10 September, 03:25
    0
    The answer is A (-3,4,6).

    Step-by-step explanation:

    1 Solve for z in - 3x-4y+z=-1

    z=3x-1+4y

    2 Substitute z=3x-1+4y into 2x+y-z=-8

    -x-3y+1=-8

    3 Substitute z=3x-1+4y into x+8y-z=23

    -2x+4y+1=23

    4 Solve for x in - x-3y+1=-8

    x=-3y+9

    5 Substitute x=-3y+9 into z=3x-1+4y

    z=-5y+26

    6 Substitute x=-3y+9 into - 2x+4y+1=23

    10y-17=23

    7 Solve for y in 10y-17=23

    y=4

    8 Substitute y=4 into z=-5y+26

    z=6

    9 Substitute y=4 into x=-3y+9

    x=-3

    10 Therefore,

    x=-3

    y=4

    z=6
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