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24 June, 07:18

2x+4y+2z = - 8

5y-2z = 0

4z = - 20

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Answers (1)
  1. 24 June, 07:33
    0
    The given solution for the system is x = 5, y = - 2 and z = - 5

    Step-by-step explanation:

    Here, the given set of equations are:

    2 x + 4 y + 2 z = - 8

    5 y - 2 z = 0

    4 z = - 20

    Now, simplifying each question one by one, we get:

    Simplifying third equation for the value of z:

    4 z = - 20 ⇒ z = - 20 / 4 = - 5

    or, z = - 5

    Simplifying second equation for the value of y:

    Substitute the value of z = - 5 in (2), we get

    5 y - 2 z = 0 ⇒ 5 y - 2 (-5) = 0

    or, 5 y + 10 = 0

    or, 5 y = - 10

    or, y = - 10/5 = - 2

    ⇒ y = - 2

    Simplifying first equation for the value of x:

    Substitute the value of z = - 5 and y = - 2 in (1), we get

    2 x + 4 y + 2 z = - 8 ⇒ 2 x + 4 (-2) + 2 (-5) = - 8

    or, 2 x - 8 - 10 = - 8

    or, 2 x = 10

    x = 10 / 2 = 5, or x = 5

    Hence, the given solution for the system is x = 5, y = - 2 and z = - 5
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