**y**to

**x**if $$\frac{(x+3y)}{\left(x-y\right)}=\frac{3}{4}?$$

A) -15/4

B) -5/3

C) -1/15

D) 3/5

E) 15/1

The OA is C.

Experts, additionally to the algebraic solution, is there another approach to solve this PS question? Thanks!

A) -15/4

B) -5/3

C) -1/15

D) 3/5

E) 15/1

The OA is C.

Experts, additionally to the algebraic solution, is there another approach to solve this PS question? Thanks!

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**Posts:**2663**Joined:**14 Jan 2015**Location:**Boston, MA**Thanked**: 1153 times**Followed by:**128 members**GMAT Score:**770

Well, I see '15' coming up repeatedly in the answer choices. So let's say I make x = 15. We'd have. (15 + 3y)/(15 - y) = 3/4; Now I'd just solve for yswerve wrote:What is the ratio ofytoxif $$\frac{(x+3y)}{\left(x-y\right)}=\frac{3}{4}?$$

A) -15/4

B) -5/3

C) -1/15

D) 3/5

E) 15/1

The OA is C.

Experts, additionally to the algebraic solution, is there another approach to solve this PS question? Thanks!

4(15+3y) = 3(15 - y)

60 + 12y = 45 - 3y

15 = -15y

-1 = y

If x = 15 and y = -1, then y/x = -1/15. The answer is C

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**Posts:**6362**Joined:**25 Apr 2015**Location:**Los Angeles, CA**Thanked**: 43 times**Followed by:**26 members

swerve wrote:What is the ratio ofytoxif $$\frac{(x+3y)}{\left(x-y\right)}=\frac{3}{4}?$$

A) -15/4

B) -5/3

C) -1/15

D) 3/5

E) 15/1

/quote]

Cross multiplying, we have:

4x + 12y = 3x - 3y

15y = -x

y/x = -1/15

Answer: C

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