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27 April, 04:09

Y=-8x - 37

x+3y=4

Substitution method

+5
Answers (2)
  1. 27 April, 04:15
    0
    x = - 5, y = 3 or you can write it as (-5, 3).

    Step-by-step explanation:

    y=-8x - 37

    x+3y=4

    From the second equation x = 4 - 3y, so substituting in equation 1:

    y = - 8 (4 - 3y) - 37

    y = - 32 + 24y - 37

    -23y = - 69

    y = 3

    Now plug y = 3 into equation 1:

    3 = - 8x - 37

    -8x = 40

    x = - 5.
  2. 27 April, 04:27
    0
    ( - 5, 3)

    Step-by-step explanation:

    Given the 2 equations

    y = - 8x - 37 → (1)

    x + 3y = 4 → (2)

    Substitute y = - 8x - 37 into (2)

    x + 3 ( - 8x - 37) = 4 ← distribute and simplify left side

    x - 24x - 111 = 4

    - 23x - 111 = 4 (add 111 to both sides)

    - 23x = 115 (divide both sides by - 23)

    x = - 5

    Substitute x = - 5 into (1) for corresponding value of y

    y = - 8 ( - 5) - 37 = 40 - 37 = 3

    Solution is ( - 5, 3)
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