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28 July, 11:56

Use the substitution method to solve the following system of equations:

3x + 5y = 3

x + 2y = 0

(1,1)

(6,-3)

(1, - 3)

(6,1)

+2
Answers (1)
  1. 28 July, 12:08
    0
    (6, - 3)

    Step-by-step explanation:

    Given the 2 equations

    3x + 5y = 3 → (1)

    x + 2y = 0 → (2)

    Rearrange (2) expressing x in terms of y by subtracting 2y from both sides

    x = - 2y → (3)

    Substitute x = - 2y into (1)

    3 ( - 2y) + 5y = 3

    - 6y + 5y = 3

    - y = 3 (multiply both sides by - 1)

    y = - 3

    Substitute y = - 3 into (3) for corresponding value of x

    x = - 2 ( - 3) = 6

    Solution is (6, - 3)
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