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15 June, 06:00

Solve the following two equations using elimination: x y=10 x-y=6

A. (4,6)

B. (8,4)

C. (8,2)

D. (2,8)

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Answers (2)
  1. 15 June, 07:27
    0
    Answer=C (8,2)

    I'm assuming you meant x+y=10 and x-y=6

    To solve for x and y, let's look at our options ...

    a. (4,6)

    b. (8,4)

    c. (8,2)

    d. (2,8)

    Now we need to find one of the ordered pairs with a sum of 10

    a. (4,6)

    b. (8,4)

    c. (8,2)

    d. (2,8)

    Both the ordered pairs of c and d have a sum of 10. Now lets plug both into the x-y=6 equation and see what we get ...

    c. (8,2) 8-2=6

    d. (2,8) 2-8=-6

    The answer is C
  2. 15 June, 08:52
    0
    C. (8,2)

    x + y = 10

    x - y = 6

    2x = 16

    2x / 2 = 16 / 2

    x = 8

    x - y = 6

    8 - y = 6

    - y = 6 - 8

    - y = - 2

    -y / - 1 = - 2 / - 1

    y = 2

    To check:

    x + y = 10; 8 + 2 = 10; 10 = 10

    x - y = 6; 8 - 2 = 6; 6 = 6
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