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anonymous
 5 years ago
the sum of two numbers is 31. The first is 5 less than the second. Find the numbers.
anonymous
 5 years ago
the sum of two numbers is 31. The first is 5 less than the second. Find the numbers.

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shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0Can you convert this into an equation?

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0Not quite, it's \(x = y  5\) (making \(y\) 5 less than \(x\)).

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0So 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?

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0Right. So now you have two equations: \[\begin{align} x + y &= 31\\ y  5 &= x \end{align}\]

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0Can you solve that system of equations?

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0Right, and then can you solve that equation for y?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0that is where i am a little confused. do i minus a y?

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0So you have: y  5 + y = 31 You can put the ys together: y + y  5 = 31 Which is the same as: 2y  5 = 31

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0Not 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
 5 years ago
Best ResponseYou've already chosen the best response.0oh so i have to add 5 to equal it out since it is negative?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thats where i went wrong. y=18?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thank you. i am going to attempt my next problem.
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