anonymous
  • anonymous
How can 1/5x − 2 = 1/3x + 8 be set up as a system of equations?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
If you say that each equation is equal to some y-value, then you can get a system. I assume you mean 1/5x to be \(\frac{1}{5}x\) and 1/3x to be \(\frac{1}{3}x\), correct?
anonymous
  • anonymous
yes youre correct
anonymous
  • anonymous
Alright, then let's just say each side of the equality is equal to y. Then we can have this: \(y = \frac{1}{5}x -2\) \(y=\frac{1}{3}x + 8\)

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anonymous
  • anonymous
okay sounds good
anonymous
  • anonymous
can you show me whats next
anonymous
  • anonymous
Well, that's just the set up in order to turn it into a system of equations. Did you need to solve it as well?
anonymous
  • anonymous
well let me show you the answer choices
anonymous
  • anonymous
5y-5x=-10 3y-3x=24 5y-5x=-10 3y+3x=24 5y+x=-10 3y+x=24 5y-x=-10 3y-x=24
anonymous
  • anonymous
Oh, okay, so then we have to turn it into some sort of general form. Well, if we start with \(y = \frac{1}{5}x-2\), we first want to get rid of the fraction. Do you know how to eliminate fractions in these equations?
anonymous
  • anonymous
i knnow you would have to multiply
anonymous
  • anonymous
Yeah. You would multiply by an LCD of any fractions in the equation. Of course the only denominator we have is a 5, so we just multiply everything by 5. Are you comfortable doing that?
anonymous
  • anonymous
can you please do it for me. i already tried
anonymous
  • anonymous
Well, you see why multiplying everything by 5 is what we need to do, yes?
anonymous
  • anonymous
yes i do see that
anonymous
  • anonymous
So if I do this: \(5*y = 5*\frac{1}{5}x - 5*2\) I get \(5y = x - 10\) That okay on your end?
anonymous
  • anonymous
ok.... so which one of my answer choices would that be?
anonymous
  • anonymous
Well, all of your answer choices have the 5y part as being positive and the number by itself. So that means I want to subtract x from both sides. \(5y = x - 10\) \(-x -x\) \(5y - x = -10\)
anonymous
  • anonymous
okay thank you so much
anonymous
  • anonymous
You're welcome

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