anonymous
  • anonymous
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? A. Multiply the second equation by −4 to get −16x − 4y = −80 B.Multiply the second equation by −1 to get −4x − y = −20 C.Multiply the first equation by 2 to get 4x + 8y = 28 D.Multiply the first equation by −1 to get −2x − 4y = −14
Mathematics
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anonymous
  • anonymous
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? A. Multiply the second equation by −4 to get −16x − 4y = −80 B.Multiply the second equation by −1 to get −4x − y = −20 C.Multiply the first equation by 2 to get 4x + 8y = 28 D.Multiply the first equation by −1 to get −2x − 4y = −14
Mathematics
katieb
  • katieb
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Mehek14
  • Mehek14
Multiply the first equation by 2 so when you subtract 4x - 4x x is eliminated
anonymous
  • anonymous
ok Can you show me step by step i am really confused.
Mehek14
  • Mehek14
when you multiply 2x + 4y = 14 by 2 you get 4x + 8y = 28

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Mehek14
  • Mehek14
now you have 4x + 8y = 28 4x + y = 20
anonymous
  • anonymous
|dw:1437495005459:dw|
Mehek14
  • Mehek14
If you subtract \(~4x+8y=28\\ -4x+y=20\\------ \\ 0x + 7y = 8\)
Mehek14
  • Mehek14
so you have eliminated x
anonymous
  • anonymous
Ok.
anonymous
  • anonymous
Is it A?
anonymous
  • anonymous
Mehek14
  • Mehek14
C
anonymous
  • anonymous
Oh. OK Thank you!
Mehek14
  • Mehek14
your welcome

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