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16 December, 07:54

Solve the simultaneous equations y=x-2 and y=3x+5

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Answers (1)
  1. 16 December, 08:05
    0
    ( - 3.5, - 5.5)

    Step-by-step explanation:

    Given the 2 equations

    y = x - 2 → (1)

    y = 3x + 5 → (2)

    Substitute y = 3x + 5 into (1)

    3x + 5 = x - 2 (subtract x from both sides)

    2x + 5 = - 2 (subtract 5 from both sides)

    2x = - 7 (divide both sides by 2)

    x = - 3.5

    Substitute x = - 3.5 into either of the 2 equations and evaluate for y

    Substituting into (1)

    y = - 3.5 - 2 = - 5.5

    Solution is ( - 3.5, - 5.5)
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