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31 October, 21:32

50x+30y = 550 what is x and y

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  1. 1 November, 00:21
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    x = 8 and y = 5

    Step-by-step explanation:

    The question is as following:

    what is x and y for the following system of equations:

    50x + 30 y = 550 ⇒ (1)

    44x + 36 y = 532 ⇒ (2)

    Subtract (1) - (2)

    ∴ 6x - 6y = 18

    Divide both sides by 6

    ∴ x - y = 3

    ∴ x = 3 + y ⇒ (3)

    Substitute with the value of x at (1)

    50 (3+y) + 30y = 550

    Solve for y

    150 + 50y + 30y = 550

    80y = 550 - 150 = 400

    ∴ y = 400/80 = 5

    Substitute with the value of y at (3)

    ∴ x = 3 + y = 3 + 5 = 8

    So, x = 8 and y = 5
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