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gsingh0711
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gsingh0711
If \(3y + 1 + 3y − 2 + 3y − 3 = 85(3x + 5)\), what is the value of y in terms of x?


A. x
B. x + 2
C. x − 2
D. x + 8
E. x − 8


Poor question at the first look itself..

All the choices have coefficient of X and y same as y=X or y=X+2
But the two sides tell us that y has 9 as coefficient and X has 85*3, so can never be equal

\(3y + 1 + 3y − 2 + 3y − 3 = 85(3x + 5)........9y-4=255x+425.......9y=255x+429........y=85x/3 + 143/3...\)

Yes. The formatting in the question as well in the "solution" was all messed up. I guess the guy just copy pasted both from some source without checking. I fixed it.
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Bunuel
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gsingh0711
If \(3y + 1 + 3y − 2 + 3y − 3 = 85(3x + 5)\), what is the value of y in terms of x?


A. x
B. x + 2
C. x − 2
D. x + 8
E. x − 8


Poor question at the first look itself..

All the choices have coefficient of X and y same as y=X or y=X+2
But the two sides tell us that y has 9 as coefficient and X has 85*3, so can never be equal

\(3y + 1 + 3y − 2 + 3y − 3 = 85(3x + 5)........9y-4=255x+425.......9y=255x+429........y=85x/3 + 143/3...\)

Yes. The formatting in the question as well in the "solution" was all messed up. I guess the guy just copy pasted both from some source without checking. I fixed it.

I think system failed the read the raised to the powers and that is why formatting looked messed up.
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gsingh0711
If \(3^{y + 1} + 3^{y − 2} + 3^{y − 3} = 85(3^{x + 5})\), what is the value of y in terms of x?


A. x
B. x + 2
C. x − 2
D. x + 8
E. x − 8

Dear Moderator,
Found this PS question , in the DS section, hope you will do the needful. Thank you.
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stne
gsingh0711
If \(3^{y + 1} + 3^{y − 2} + 3^{y − 3} = 85(3^{x + 5})\), what is the value of y in terms of x?


A. x
B. x + 2
C. x − 2
D. x + 8
E. x − 8

Dear Moderator,
Found this PS question , in the DS section, hope you will do the needful. Thank you.
___________________
Done. Thank you.
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gsingh0711
Explanation:

3y+1+3y−2+3y−3=85(3x+5)

⇒ 3y(31+3−2+3−3)=85(3x+5)

⇒ 3y(3+19+127)=85(3(x+5)) )

⇒ 3y(8527)=85(3(x+5))

⇒ 3y=27(3x+5)=33×3x+5

⇒ 3y=3x+8

⇒ y = x + 8

Answer: D.

I think, I deserve a kudus LoL


gsingh0711 hey there :) thank you for your explanation :-) To deserve kudos please make explanation clear and math friendly :) (explain with words step by step) :grin: :-)

Use math formatting tools express exponent like this \(3^2\) :-)
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chetan2u
gsingh0711
If \(3y + 1 + 3y − 2 + 3y − 3 = 85(3x + 5)\), what is the value of y in terms of x?


A. x
B. x + 2
C. x − 2
D. x + 8
E. x − 8


Poor question at the first look itself..

All the choices have coefficient of X and y same as y=X or y=X+2
But the two sides tell us that y has 9 as coefficient and X has 85*3, so can never be equal

\(3y + 1 + 3y − 2 + 3y − 3 = 85(3x + 5)........9y-4=255x+425.......9y=255x+429........y=85x/3 + 143/3...\)

If it is
Question is
\(3^{y + 1} + 3^{y − 2} + 3^{y − 3} = 85(3^{x + 5})...................\\
3^{y-3}(3^4+3+1)=85(3^{X+5}...................\\
3^{y-3}*85=85*3^{X+5}......................\\
3^{X+5}=3^{y-3}\)

Equating the powers
x+5=y-3.......y=x+8

D


chetan2u can you please explain how from this \(3^{y-3}(3^4+3+1)=85(3^{X+5}\) you got this \(3^{y-3}*85=85*3^{X+5}\) ? :-) what happened to this \((3^4+3+1)\) ? :?
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chetan2u
gsingh0711
If \(3y + 1 + 3y − 2 + 3y − 3 = 85(3x + 5)\), what is the value of y in terms of x?


A. x
B. x + 2
C. x − 2
D. x + 8
E. x − 8


Poor question at the first look itself..

All the choices have coefficient of X and y same as y=X or y=X+2
But the two sides tell us that y has 9 as coefficient and X has 85*3, so can never be equal

\(3y + 1 + 3y − 2 + 3y − 3 = 85(3x + 5)........9y-4=255x+425.......9y=255x+429........y=85x/3 + 143/3...\)

If it is
Question is
\(3^{y + 1} + 3^{y − 2} + 3^{y − 3} = 85(3^{x + 5})...................\\
3^{y-3}(3^4+3+1)=85(3^{X+5}...................\\
3^{y-3}*85=85*3^{X+5}......................\\
3^{X+5}=3^{y-3}\)

Equating the powers
x+5=y-3.......y=x+8

D


chetan2u can you please explain how from this \(3^{y-3}(3^4+3+1)=85(3^{X+5}\) you got this \(3^{y-3}*85=85*3^{X+5}\) ? :-) what happened to this \((3^4+3+1)\) ? :?

Hi..
3^4+3+1=81+3+1=85
So 3^4+3+1 is replaced with 85
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\(3^{y + 1} + 3^{y − 2} + 3^{y − 3} = 85(3^{x + 5})\)

\(3^{y + 1} ( 1 + 3^{− 3} + 3^{− 4}) = (5)(17)(3^{x + 5})\)

\(3^{y + 1} ( 1 + {1/27} + {1/81}) = (5)(17)(3^{x + 5})\)

\(3^{y + 1} ( {85/81}) = (5)(17)(3^{x + 5})\)

\(3^{y + 1} ( 85 * 3^{− 4}) = (85)(3^{x + 5})\)

y + 1 + ( - 4 ) = x + 5

y = x + 8

D
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gsingh0711
If \(3^{y + 1} + 3^{y − 2} + 3^{y − 3} = 85(3^{x + 5})\), what is the value of y in terms of x?


A. x
B. x + 2
C. x − 2
D. x + 8
E. x − 8

\(3^y\) [ 3 + 1/9 +1/27 ] = 85 \((3^{x + 5})\)

take \(3^y\) common

\(3^y\) [ 85/27] = 85 \((3^{x + 5})\)

\(3^y\) = \((3^{x + 8})\)

y = x+8

D
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3^Y•3 + 3^Y•3^-2 + 3^Y•3^-3 = 85•3^X•3^5
3^Y ( 3 + 1/9 +1/27) =85•3^5•(3^X)
3^Y (85/27) = 85•3^5•(3^X)
3^Y = 3^3•3^5•3^X
Y= 3+5 +X
Y = X +8

Answer D
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