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27 June, 18:52

Which of the following values for x and y satisfy the following system of the equations?

{ x + 4y = 10

{5x + 10y = 20

a. x = 3, y = 2

b. x = 2, y - 3

c. x = - 2, y = 3

d. x = 3, y = - 2

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Answers (1)
  1. 27 June, 19:57
    0
    The answer to your question is letter C

    Step-by-step explanation:

    Equations

    x + 4y = 10

    5x + 10y = 20

    Process

    1. - Substitute all the options in both equations and evaluate them

    a) x = 3, y = 2 This option is incorrect

    (3) + 4 (2) = 10 3 + 8 = 10 11 ≠ 10

    5 (3) + 10 (2) = 20 15 + 20 = 20 35 ≠ 20

    b) x = 2, y = - 3 This option is incorrect

    (2) + 4 (-3) = 10 2 - 12 = 10 - 10 ≠ 10

    (2) + 10 (-3) = 20 2 - 30 = 20 - 28 ≠ 20

    c) x = - 2, y = 3 This is the right answer

    (-2) + 4 (3) = 10 - 2 + 12 = 10 10 = 10

    5 (-2) + 10 (3) = 20 - 10 + 30 = 20 20 = 20

    d) x = 3, y = - 2 This option is incorrect

    (3) + 4 (-2) = 10 3 - 6 = 10 - 3 ≠ 10

    5 (3) + 10 (-2) = 20 15 - 20 = 20 - 10 ≠ 10
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