anonymous
  • anonymous
Determine which system below will produce infinitely many solutions. −6x + 3y = 18 4x − 3y = 6 2x + 4y = 24 6x + 12y = 36 3x − y = 14 −9x + 3y = −42 5x + 2y = 13 −x + 4y = −6
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Please help me
welshfella
  • welshfella
infinitely many solutions occur when one equation is a multiple of the other. Basically they produce they produce the same line in the coordinate plane.
anonymous
  • anonymous
Okay.. so what would I do to find the answer?

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welshfella
  • welshfella
an example would be x + y = 6 -2x - 2y = -12 - because the second equation = first multiplied by -2
welshfella
  • welshfella
see if you can find something similar in the 4 given options are the y , x terms and the number in one equation multiplied by the same value to get the other?
anonymous
  • anonymous
Oh okay, I'll look back at them and see. Thank you so much !!
welshfella
  • welshfella
yw Hint - at first it looks like number 2 is the one because 2x* 3 = 6x and 4y * 3 = 12y but 24 *3 does not equal 36 so its not that one.
anonymous
  • anonymous
Yeahh true ... hm. Algebra is my hardest so I dont really know what to do exactly
welshfella
  • welshfella
look at number 3 how do you go from 3x to -9x, and -y to 3y and 14 to -42?
anonymous
  • anonymous
It multiplies by 3 ?
anonymous
  • anonymous
-3*
welshfella
  • welshfella
|dw:1441297958917:dw|
welshfella
  • welshfella
almost - its by -3
welshfella
  • welshfella
so thats the one get it?
anonymous
  • anonymous
So they multiply it by -3 . So that would be the answer?
welshfella
  • welshfella
yes
anonymous
  • anonymous
Yes thank you so much! It's way better to help with the problem instead of just giving the answer... so thank you
welshfella
  • welshfella
if you plotted them on a graph paper thay would be the same line. That is why there are infinite solutions - they are all along this infinitely long line!
welshfella
  • welshfella
yes - you learn something that way.
anonymous
  • anonymous
Oh okay.. now I know this for future references. And yess !
welshfella
  • welshfella
great

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