anonymous
  • anonymous
the sum of two numbers is 31. The first is 5 less than the second. Find the numbers.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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shadowfiend
  • shadowfiend
Can you convert this into an equation?
anonymous
  • anonymous
x=5-y ??
shadowfiend
  • shadowfiend
Not quite, it's \(x = y - 5\) (making \(y\) 5 less than \(x\)).

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shadowfiend
  • shadowfiend
So that's the first part, what about the part where it says that `the sum of two numbers is 31'. Can you make that into an equation?
anonymous
  • anonymous
x+y=31
shadowfiend
  • shadowfiend
Right. So now you have two equations: \[\begin{align} x + y &= 31\\ y - 5 &= x \end{align}\]
shadowfiend
  • shadowfiend
Can you solve that system of equations?
anonymous
  • anonymous
y-5+y
anonymous
  • anonymous
=31
shadowfiend
  • shadowfiend
Right, and then can you solve that equation for y?
anonymous
  • anonymous
that is where i am a little confused. do i minus a y?
anonymous
  • anonymous
4y?
shadowfiend
  • shadowfiend
So you have: y - 5 + y = 31 You can put the ys together: y + y - 5 = 31 Which is the same as: 2y - 5 = 31
anonymous
  • anonymous
2y=26?
shadowfiend
  • shadowfiend
Not quite, remember that if we want to move the 5 over to the right, you have to add 5 to both sides to cancel it on the left: 2y - 5 + 5 = 31 + 5 2y = 36
anonymous
  • anonymous
oh so i have to add 5 to equal it out since it is negative?
shadowfiend
  • shadowfiend
Exactly.
anonymous
  • anonymous
thats where i went wrong. y=18?
shadowfiend
  • shadowfiend
Exactly.
shadowfiend
  • shadowfiend
And then what's x?
anonymous
  • anonymous
x=18-5=13
anonymous
  • anonymous
13
shadowfiend
  • shadowfiend
Exactly!
anonymous
  • anonymous
thank you. i am going to attempt my next problem.
shadowfiend
  • shadowfiend
Cool.

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