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24 August, 15:05

2x + 3y = 53

3x - y = 19

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Answers (1)
  1. 24 August, 18:29
    0
    x = 10

    y = 11

    Step-by-step explanation:

    Solve for x:

    2x + 3y = 53

    3x (3) - y (3) = 19 (3)

    2x + 3y = 53

    9x - 3y = 57

    Add:

    2x = 53

    9x = 57

    11x = 110

    Solve algebraically:

    x = 110 : 11

    x = 10

    Now solve for y:

    2 (10) + 3y = 53

    20 + 3y = 53

    3y = 53 - 20

    3y = 33

    y = 33 : 3

    y = 11

    Verify for the second equation:

    3x - y = 19

    3 (10) - (11) = 19

    30 - 11 = 19

    30 = 19 + 11

    30 = 30 (Correct)

    Cheers!
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