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anonymous

  • one year ago

FAN MEDAL INSTAGRAM Given the system of equations presented here: 2x + 4y = 14 4x + y = 20 Which of the following actions creates an equivalent system such that, when combined with the other equation, one of the variables is eliminated?

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  1. anonymous
    • one year ago
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    @mathstudent55

  2. calculusxy
    • one year ago
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    we know that when a number and its opposite is added, then the result is 0. let's try to cancel x. we have 2x and 4x.

  3. anonymous
    • one year ago
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    Multiply both sides of the second equation by -4.

  4. calculusxy
    • one year ago
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    if we have -4 + 4 =0

  5. calculusxy
    • one year ago
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    thus multiply the first equation by -2 and the second one by -1

  6. anonymous
    • one year ago
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    Well these are the answers Multiply the second equation by −4 to get −16x − 4y = −80 Multiply the second equation by −1 to get −4x − y = −20 Multiply the first equation by 2 to get 4x + 8y = 28 Multiply the first equation by −1 to get −2x − 4y = −14

  7. anonymous
    • one year ago
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    x and y are fractions. {x = 33/7, y = 8/7}

  8. anonymous
    • one year ago
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    so which one would it be @robtobey

  9. anonymous
    • one year ago
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    @robtobey

  10. anonymous
    • one year ago
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    x = 33/7 y = 8/7 Plug the above values into each equation in order to verify their values.

  11. anonymous
    • one year ago
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    If each side of 2x + 4y = 14 is divided by 2, then x + 2y = 7 . Now the second equation can be multiplied by -2.

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