find the value of x and y, (x+y, 2x-y)= (13, 2)

Question

find the value of x and y, (x+y, 2x-y)= (13, 2)

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Yến Oanh 5 months 2021-08-27T15:55:46+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-27T15:56:53+00:00

    Answer:

    Step-by-step explanation:

    comparing corresponding elements

    x + y = 13

    2x – y = 2

    Now use substitution method.

    x + y = 13

    x = 13 – y                 equation(i)

    substitute the value of x

    2x – y = 2

    2(13 – y) – y = 2

    26 – 2y – y = 2

    -3y = 2 – 26

    y = -24/-3

    y = 8

    substitute the value of y in eqaution(i)

    x = 13 – y

    x = 13 – 8

    x = 5

    therefore , x = 5 and y = 8

    To check :

    x + y = 13

    when we add x and y then must come 13

    5 + 8 = 13

    13 = 13

    2x – y = 13

    substitute the value of x and y . REsult must come 2

    2*5 – 8 = 2

    10 – 8 = 2

    2 = 2

    10 – 8 = 2

    0
    2021-08-27T15:57:11+00:00

    Answer:

    x = 5, y = 8

    Step-by-step explanation:

    Another way to write  (x+y, 2x-y)= (13, 2) is

    x + y = 13 — (1)

    2x – y = 2 — (2)

    using the elimilation method,

    Rewriting (1), y = 13 – x –(1)’

    Replacing (1)’ into (2),

    2x – ( 13 – x) = 2

    2x – 13 + x = 2

    3x = 15

    x = 5 — (3)

    Replacing (3) into (1),

    5 + y = 13

    y = 8 — (4)

    Accorindg to (3) and (4),

    x = 5, y = 8

    If this helps you, please give brainliest!

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