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Katlyn99

  • 3 years ago

Which ordered pairs from the replacement set are solutions to the equation? y = -2x + 9 ; Replacement Set {((-1, 11), (0, 8), (1, 7), (2, 5)} (-1, 11) (0, 8) (1, 7) (2, 5)

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  1. tcarroll010
    • 3 years ago
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    Each ordered pair is of the form:\[(x _{1}, y _{1})\]You take each ordered pair and substitute like so:\[y _{1} = -2x _{1} + 9\]and see if it is true. You do this for each ordered pair, one at a time and test it. For your first ordered pair, the x1 = -1 and the y1 = 11. So, you can test the first one by substituting those values.

  2. tcarroll010
    • 3 years ago
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    So you ask yourself if: 11 = -2(-1) + 9 is true or not.

  3. tcarroll010
    • 3 years ago
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    What is -2(-1) ? Hint: that is -2 times -1

  4. Katlyn99
    • 3 years ago
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    2

  5. Katlyn99
    • 3 years ago
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    so -1,11 works

  6. tcarroll010
    • 3 years ago
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    To perform multiplication with negative signs, you first multiply the numbers and then if the number of "-" signs is an even number, you have a positive result. Just saw your answer, so you probably already understand this. Good. So, continuing: 11 = -2(-1) + 9 -> 11 = 2 + 9 Yes, you already saw now that it works. Good job. Now just check the other 3 ordered pairs. Hint: only one doesn't work.

  7. Katlyn99
    • 3 years ago
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    ok thanks:)

  8. tcarroll010
    • 3 years ago
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    So, this is making sense to you now?

  9. Katlyn99
    • 3 years ago
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    yes it is I just needed a refresher

  10. tcarroll010
    • 3 years ago
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    I'm glad you're getting this. It's a great feeling when understanding comes. It's like a gift.

  11. tcarroll010
    • 3 years ago
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    Good luck again and thx for the recognition!

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