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11 October, 23:57

Solve the simultaneous equations 2x + 4y = 1 3x - 5y = 7

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  1. 12 October, 00:57
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    (1.5, - 0.5)

    Step-by-step explanation:

    Given the 2 equations

    2x + 4y = 1 → (1)

    3x - 5y = 7 → (2)

    Multiplying (1) by 3 and (2) by - 2 and adding will eliminate the x - term

    6x + 12y = 3 → (3)

    - 6x + 10y = - 14 → (4)

    Add (3) and (4) term by term to eliminate x

    22y = - 11 (divide both sides by 22)

    y = - 0.5

    Substitute y = - 0.5 into either of the 2 equations and solve for x

    Substituting into (1)

    2x + 4 ( - 0.5) = 1

    2x - 2 = 1 (add 2 to both sides)

    2x = 3 (divide both sides by 2)

    x = 1.5

    Solution is (1.5, - 0.5)
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