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Mathematics 8 Online
OpenStudy (anonymous):

if 7y-5x=3, what is the smallest integer value of x for which y is greater than 75

OpenStudy (anonymous):

that was quick

OpenStudy (anonymous):

I was looking for you!

OpenStudy (anonymous):

tips?

OpenStudy (anonymous):

yeah

OpenStudy (anonymous):

105

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

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.

OpenStudy (anonymous):

well

OpenStudy (anonymous):

yeah

OpenStudy (anonymous):

the smallest integer value being 105 for x

OpenStudy (anonymous):

yeah

OpenStudy (anonymous):

105

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

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

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

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

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

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?

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

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.

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?

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.

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