if 7y-5x=3, what is the smallest integer value of
x for which y is greater than 75
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OpenStudy (anonymous):
that was quick
OpenStudy (anonymous):
I was looking for you!
OpenStudy (anonymous):
tips?
OpenStudy (anonymous):
yeah
OpenStudy (anonymous):
105
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OpenStudy (anonymous):
smallest integer value
OpenStudy (anonymous):
if y=76, x=105.8
OpenStudy (anonymous):
You can set up the equation with y as the independent variable, that is, x=(some expression in y). Then, put 75 in for y. Solve for x. Bump x up to the next highest integer.
OpenStudy (anonymous):
however
OpenStudy (anonymous):
the smallest integer would be 105
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OpenStudy (anonymous):
because there are numbers less than 76 and more than 75
OpenStudy (anonymous):
that would allow x to be 105
OpenStudy (anonymous):
if rounded
OpenStudy (anonymous):
you see what I did?
OpenStudy (anonymous):
Yes, but you're concentrating on y when you should be concentrating on x. This is sort of a trick question which is really telling you to solve for x instead of the usual solving for y.
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OpenStudy (anonymous):
well
OpenStudy (anonymous):
yeah
OpenStudy (anonymous):
the smallest integer value being 105 for x
OpenStudy (anonymous):
yeah
OpenStudy (anonymous):
105
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OpenStudy (anonymous):
105 would be the smallest greater integer x if y equaled greater than 74
OpenStudy (anonymous):
I mean 75
OpenStudy (anonymous):
ao
OpenStudy (anonymous):
so
OpenStudy (anonymous):
most likely 75.5
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OpenStudy (anonymous):
actually, a number bit smaller
OpenStudy (anonymous):
but you get the picture, right?
OpenStudy (anonymous):
The problem as stated does not require y to be an integer, only that x be an integer, so, as long as you can get infinitesimally over 75 for y, that's the minimum x. Now, x might not end up being an integer, so you have to increase whatever value you have for x to the next highest integer and that will be your smallest integer for x.
OpenStudy (anonymous):
if y equaled between 75-75.5, x would equal=105, the smallest integer value?
OpenStudy (anonymous):
yeah
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OpenStudy (anonymous):
you see what I did?
OpenStudy (anonymous):
between 75-75.5 for y would give x the value of 105
OpenStudy (anonymous):
you see now?
OpenStudy (anonymous):
the next integer up from 75
OpenStudy (anonymous):
104.4 was if y=75
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OpenStudy (anonymous):
75.5=105.1
OpenStudy (anonymous):
so between 75-75.5 would x possibly =105
OpenStudy (anonymous):
you see what I am saying now?
OpenStudy (anonymous):
You're still working the problem backward and creating a lot of unnecessary work for yourself. Just solve for x instead of for y.
OpenStudy (anonymous):
you can't
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OpenStudy (anonymous):
you have to solve for y first
OpenStudy (anonymous):
you have to pick a number for y
OpenStudy (anonymous):
between 75-75.5
OpenStudy (anonymous):
to find x
OpenStudy (anonymous):
you no numbers to pick for x
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OpenStudy (anonymous):
you see what I am trying to say?
OpenStudy (anonymous):
You're still going about it wrong. Just state the equation as x = (some expression in y) and almost all your work is done.
OpenStudy (anonymous):
ahh
OpenStudy (anonymous):
now I see your logic
OpenStudy (anonymous):
Now, x = (7y-3)/5. Do you see that?
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OpenStudy (anonymous):
x=7/5y-3/5
OpenStudy (anonymous):
7y-3/5
OpenStudy (anonymous):
k
OpenStudy (anonymous):
Your last 2 equations are off. Just look at my latest response and you'll see the equation since I wrote it out for you.
OpenStudy (anonymous):
look
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OpenStudy (anonymous):
if y=75
OpenStudy (anonymous):
522/5
OpenStudy (anonymous):
104.4
OpenStudy (anonymous):
so the next greatest integer would be 105
OpenStudy (anonymous):
Yes, x would equal 104.4, but you need the x to be the next higher integer and then that 105 will be the smallest integer where y is guaranteed to be at least 75. Nowyou're on the right track, but I strongly suggest that you review all my posts here. All of them. And then you will see how to proceed with this.
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OpenStudy (anonymous):
so I still have a flaw?
OpenStudy (anonymous):
x=1.4y-.6
OpenStudy (anonymous):
1.4 times 75
OpenStudy (anonymous):
ahh
OpenStudy (anonymous):
that it?
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OpenStudy (anonymous):
105?
OpenStudy (anonymous):
Well, with you or with anyone, I can't get inside someone else's head to see how he works through a problem, but something tells me that you don't 100% agree that you HAVE to solve for x, not y.
OpenStudy (anonymous):
k
OpenStudy (anonymous):
ty, though
OpenStudy (anonymous):
If you do that, and it's the only way, you will be on the right track, so it would be very VERY good for you to review this problem. And thx for the medal.