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20 June, 01:04

I'm doing process of elimination, and I have no idea how to do it. I need somebody to guide me through some questions.

1.) 3x + 5y = - 17

-5x - 5y = 15

2.) - 2x + 2y = 6

-2x + 3y = 13

3.) 7x + 11y = - 29

-x + y = - 1

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Answers (1)
  1. 20 June, 04:12
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    1. 3x + 5y = - 17

    -5x - 5y = 15

    -2x = - 2

    -2 - 2

    x = 1

    3 (1) + 5y = - 17

    3 + 5y = - 17

    - 3 - 3

    5y = - 20

    5 5

    y = - 4

    (x, y) = (1, - 4)

    2. - 2x + 2y = 6

    -2x + 3y = 13

    -y = - 7

    -1 - 1

    y = 7

    -2x + 2 (7) = 6

    -2x + 14 = 6

    - 14 - 14

    -2x = - 8

    -2 - 2

    x = 4

    (x, y) = (4, 7)

    3. 7x + 11y = - 29 ⇒ - 7x - 11y = 29

    -x + y = - 1 ⇒ - 7x + 7y = - 7

    -18y = 36

    -18 - 18

    y = - 2

    7x + 11 (-2) = - 29

    7x - 22 = - 29

    + 22 + 22

    7x = - 7

    7 7

    x = - 1

    (x, y) = (-1, - 2)
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