Solve 320+(x*y)=x*z for x: Excel Formula & Analysis Tips

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The discussion revolves around solving the equation 320 + (x*y) = x*z for x, with the rearranged formula being x = 320/(z - y). Participants suggest that if x, y, and z are positive integers, the relationship can be simplified to 320/x + y = z. The conversation highlights the need for clarity on whether integer constraints apply to the variables. Additionally, there is a mention of using a 3D grapher program for visualization, although the original poster does not have access to a Mac. The focus remains on finding an Excel formula to solve for x effectively.
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i'm going an analysis for work, but at stuck at this point. it's been a while since i took math or really used it to this extent. i need to know what the equation would look like in order to solve at what x will both sides be equal. need to put it in as an excel formula. thanks all help is greatly appreciated.
 
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rearranging:

x=320/(z-y)

Do you have access to a Mac? Its 3D 'grapher' program will show you what this looks like in an instant.
 
thanks. that really helped. and unfortunately i don't have a mac.
 
solve? meaning what?
 
wasya152 said:
i'm going an analysis for work, but at stuck at this point. it's been a while since i took math or really used it to this extent. i need to know what the equation would look like in order to solve at what x will both sides be equal. need to put it in as an excel formula. thanks all help is greatly appreciated.

I'm going to take a guess here (because it makes the problem a little more interesting) and assume that x, y and z have to be integer positive numbers? In which case look at it like this:

320/x + y = z

Now if y and z are an integer, that means 320/x has to be, so what are the only possible values of x?

While you can determine the possible values of x, you can only determine a linear (with constant) relationship between y and z, not unless there is some sort of other restriction on the problem.
 
Zurtex said:
I'm going to take a guess here (because it makes the problem a little more interesting) and assume that x, y and z have to be integer positive numbers?

Yes it makes it more interesting but I'm pretty sure that the OP wanted nothing more than to make x the subject of the formula. :)

to solve at what x will both sides be equal. need to put it in as an excel formula
 
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