Math Question - Algebra

[tom_servo_dds]

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On the practice dat from ADA there is a math question that I haven't been able to figure out. Anyone know how to solve for this one? It's #32.

The problem states:

if y=(x+2)/(x-3), then which of the following represents x?

A. (3y+2)/(y-1)
B. (3y+2)/👍
C. (3y-2)/(y+1)
D. (5y)/(y+1)
E. (3y-2)/(y-1)

For those who haven't taken it yet, you can get it here: http://www.ada.org/prof/ed/testing/dat/dat_candidate_sampletest.pdf

Thanks!

 

[asckwan]

Answer is A

Multiply y by (x-3), the equation becomes xy - 3y = x+2, the sub each side by x and add 3y to both sides making it xy - x = 3y + 2, factor out x and you get x(y-1)=3y+2, then divide both sides by (y-1) and you've got the answer. Hope this helped!

 

[checkamundo]

y=(x+2)/(x-3)
y(x-3) = (x+2)
xy - 3y = x + 2
xy - x = 3y + 2
x(y-1) = 3y+2

x = (3y+2)/(y-1) which is A

On the practice dat from ADA there is a math question that I haven't been able to figure out. Anyone know how to solve for this one? It's #32.

The problem states:

if y=(x+2)/(x-3), then which of the following represents x?

A. (3y+2)/(y-1)
B. (3y+2)/👍
C. (3y-2)/(y+1)
D. (5y)/(y+1)
E. (3y-2)/(y-1)

For those who haven't taken it yet, you can get it here: http://www.ada.org/prof/ed/testing/dat/dat_candidate_sampletest.pdf

Thanks!

 

[checkamundo]

he beat me to it

 

[asckwan]

he beat me to it

I'm actually a she... 🙂

 

[checkamundo]

😳 My bad

 

[midwestboy]

its always good to see people working together

 

[rchuloholla]

better than callin her an "it" lol 😛

 

[asckwan]

Yup, that would just not be fun at all 🙄

 

[tom_servo_dds]

Answer is A

Multiply y by (x-3), the equation becomes xy - 3y = x+2, the sub each side by x and add 3y to both sides making it xy - x = 3y + 2, factor out x and you get x(y-1)=3y+2, then divide both sides by (y-1) and you've got the answer. Hope this helped!

Now I'm even more confused. The answer key said that it was E. Thanks for everyone who responded though!

 

[asckwan]

Now I'm even more confused. The answer key said that it was E. Thanks for everyone who responded though!

hehe, I think you might have looked at the wrong answer. For 32 the answer key is A, 33 however is E. It's those dang angle rankings, they make you CROSS EYED!!!

 

[Chga]

i also got A as my answer.

 

[tom_servo_dds]

hehe, I think you might have looked at the wrong answer. For 32 the answer key is A, 33 however is E. It's those dang angle rankings, they make you CROSS EYED!!!

Must be going blind!!! Thanks everyone again...