simple math problem

[Dencology]

Guys i am going crazy over this problem?


If X/(Y+1)=Z, the which of the following is equal to x/y?

• (1/z)-1
• Z-(1/z)
• 1/(z-1)
• (1-z)/y
• Z(1+1/y)

my solution:

x=z(y+1)

x=zy+z
x-z=zy
y=x-z/z
then from here i put x over y. which is z(y+1)/x-z/z from here we get:
(z)(z)(y+1)/x-z which is z*2(y+1)/x-z which is z*2y+z*2/x-z.
now this answer is not in the answer choices, could the answer choices be wrong?

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[nixon13]

im pretty sure that Z(1+1/y) is the answer here is how i did it.

x/(y+1)=z

x=z(y+1)

x= zy+z

then i divided everything by y to get:

x/y= z+z/y

which is the same thing as that answer

z(1+1/y)= z+z/y

 

[igotshoe]

Guys i am going crazy over this problem?


If X/(Y+1)=Z, the which of the following is equal to x/y?

• (1/z)-1
• Z-(1/z)
• 1/(z-1)
• (1-z)/y
• Z(1+1/y)

my solution:

x=z(y+1)

x=zy+z
x-z=zy
y=x-z/z
then from here i put x over y. which is z(y+1)/x-z/z from here we get:
(z)(z)(y+1)/x-z which is z*2(y+1)/x-z which is z*2y+z*2/x-z.
now this answer is not in the answer choices, could the answer choices be wrong?

plug in hypothetical values for x and y then solve for z. then you can match your answer to x/y with the hypotheticals.

 

[joonkimdds]

im pretty sure that Z(1+1/y) is the answer here is how i did it.

x/(y+1)=z

x=z(y+1)

x= zy+z

then i divided everything by y to get:

x/y= z+z/y

which is the same thing as that answer

z(1+1/y)= z+z/y

exactly~

 

[dleodyddlek]

Guys i am going crazy over this problem?


If X/(Y+1)=Z, the which of the following is equal to x/y?

• (1/z)-1
• Z-(1/z)
• 1/(z-1)
• (1-z)/y
• Z(1+1/y)

my solution:

x=z(y+1)

x=zy+z
x-z=zy
y=x-z/z
then from here i put x over y. which is z(y+1)/x-z/z from here we get:
(z)(z)(y+1)/x-z which is z*2(y+1)/x-z which is z*2y+z*2/x-z.
now this answer is not in the answer choices, could the answer choices be wrong?

I agree with nixon

@igotshoe
for this type of question, pluging in hypothetical value has very high chance of not working out, getting it wrong and/or taking too much time figuring out which one to work with. I wouldn't recommand that strategy for this one.

 

[Streetwolf]

Guys i am going crazy over this problem?


If X/(Y+1)=Z, the which of the following is equal to x/y?

• (1/z)-1
• Z-(1/z)
• 1/(z-1)
• (1-z)/y
• Z(1+1/y)

my solution:

x=z(y+1)

x=zy+z
x-z=zy
y=x-z/z
then from here i put x over y. which is z(y+1)/x-z/z from here we get:
(z)(z)(y+1)/x-z which is z*2(y+1)/x-z which is z*2y+z*2/x-z.
now this answer is not in the answer choices, could the answer choices be wrong?

Remember that x = z(y+1) so if you put that into your denominator, the denominator becomes z(y+1) - z which equals z(y+1 - 1) which is just zy.

Now with the numerator as (z^2)y + z^2 and the denominator as zy, you can remove one z from each numerator term to get (zy + z) / y which equals z + z/y.

So you were on the right track (albeit a longer one) but you didn't reach the finish line. Notice that there were no x variables in the answer choices. This should have provided you with a clue as to where to go next.