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anonymous

  • one year ago

Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite. 2x - y = 7 2y = 4x - 14

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  1. Directrix
    • one year ago
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    2x - y = 7 2y = 4x - 14 Line up like variables.

  2. anonymous
    • one year ago
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    Would it be 1 solution?

  3. Directrix
    • one year ago
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    2x - y = 7 -4x +2y = -14 --------------

  4. Directrix
    • one year ago
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    @kbriones0 Multiply the top equation by 2 2x - y = 7 --> by 2 is what?

  5. anonymous
    • one year ago
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    14?

  6. Directrix
    • one year ago
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    No. 2x - y = 7 --> by 2 ---> 4x -2y = -14 Add that to the second equation

  7. anonymous
    • one year ago
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    ok im with you

  8. Directrix
    • one year ago
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    4x -2y = 14 -4x +2y = -14 ------------- Add those two equations. What do you get.

  9. Directrix
    • one year ago
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    >Would it be 1 solution? NO

  10. Directrix
    • one year ago
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    Look at the attached chart after you add the two equations.

  11. anonymous
    • one year ago
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    8x-4y-14=0?

  12. Directrix
    • one year ago
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    No. 0 + 0 = 0 4x -2y = 14 is the same line as -4x +2y = -14. If you multiply -4x +2y = -14 by -1, you will get the first equation. So, there is only one line here. Or, you can say that they coincide in every point.

  13. Directrix
    • one year ago
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    Your equations intersect in every point. Look on the attached chart and read how many solutions there are. That is the answer to this question.

  14. anonymous
    • one year ago
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    Oh okay. Thank you so much

  15. Directrix
    • one year ago
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    You are welcome.

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