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16 October, 07:30

Solve the system

-2y+5z=-3

y=-5x-4z-5

x=4z+4

+2
Answers (1)
  1. 16 October, 07:34
    0
    -2y + 5z = - 3

    y = - 5x - 4z - 5

    x = 4z + 4

    -2 (-5 (4z + 4) - 4z - 5) + 5z = - 3

    -2 (-20z - 20 - 4z - 5) + 5z = - 3

    -2 (-20z - 4z - 20 - 5) + 5z = - 3

    -2 (-24z - 25) = - 3

    48z + 50 = - 3

    - 50 - 50

    48z = - 53

    48 48

    z = - 1⁵/₄₈

    x = 4 (-1⁵/₄₈) + 4

    x = - 4⁵/₁₂ + 4

    x = ⁵/₁₂

    y = - 5 (⁵/₁₂) - 4 (-1⁵/₄₈) - 5

    y = - 2¹/₂ + 4⁵/₁₂ - 5

    y = 1¹¹/₁₂ - 5

    y = - 3¹/₂

    (x, y, z) = (⁵/₁₂, - 3¹/₂, - 1⁵/₄₈)
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