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wtoliver

  • 3 years ago

Choose the point which is a solution to the system of inequalities: 2x – y > 7 5x – y > 2

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  1. xlegendx
    • 3 years ago
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    do you know how to solve it when it's equalities? like 2x - y = 7 5x - y = 2

  2. Directrix
    • 3 years ago
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    @wtoliver Options from which to select? Please add, if so.

  3. wtoliver
    • 3 years ago
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    Yea, I know how to solve for Y and X I'm just confused how to choose the points. And sorry for not putting them. (–2, –5) (–2, 5) (2, –5) (2, 5)

  4. viniterranova
    • 3 years ago
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    |dw:1361366236438:dw|

  5. viniterranova
    • 3 years ago
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    For a better draw you can use geogebra

  6. viniterranova
    • 3 years ago
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    Here is a better graphich. The region between the two lines must have the answers for the system.

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  7. Directrix
    • 3 years ago
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    @wtoliver 2x – y > 7 5x – y > 2 ----------- Test each of the points. If (–2, –5) is a solution, then it has to satisfy both inequalities.

  8. Directrix
    • 3 years ago
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    2x – y > 7 Test Point (-2,-5) 2(-2) - (-5) > 7 ----> ? -4 + 5 > 7 -->? 1 > 7 --> No So, the point (-2,-5) is not a solution. No need to test the second inequality because the point does not satisfy the first inequality.

  9. Directrix
    • 3 years ago
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    Next, look at the second point (-2,5). Note: y = 5 and x = -2. lst inequality to check 2x – y > 7 Point to test (-2,5) Is 2(-2) - 5 > 7 Is -4 - 5 > 7 Is -9> 7 No. Go to next point to test and contine.

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