Ifx + 2y = 8 and – 2x + 3y = 5, then what is the value of 2x + 3y?

Question

Ifx + 2y = 8 and – 2x + 3y = 5, then what is the value of 2x + 3y?

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Emery 11 hours 2021-11-25T12:03:09+00:00 1 Answer 0 views 0

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    2021-11-25T12:04:36+00:00

    Answer:

    13

    Step-by-step explanation:

    Given the 2 equations

    x + 2y = 8 → (1)

    – 2x + 3y = 5 → (2)

    Rearrange (1) expressing x in terms of y by subtracting 2y from both sides

    x = 8 – 2y → (3)

    Substitute x = 8 – 2y into (2)

    – 2(8 – 2y) + 3y = 5 ← distribute and simplify left side

    – 16 + 4y + 3y = 5

    – 16 + 7y = 5 ( add 16 to both sides )

    7y = 21 ( divide both sides by 7 )

    y = 3

    Substitute y = 3 in (3) for corresponding value of x

    x = 8 – 2(3) = 8 – 6 = 2

    Thus x = 2 and y = 3

    2x + 3y = 2(2) + 3(3) = 4 + 9 = 13

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45:7+7-4:2-5:5*4+35:2 =? ( )