If 2yz = 1 and 3/(3 + 1/z) = 2, y =

Question

If  2yz = 1  and  \frac{3}{3 + \frac{1}{z}} = 2 , then y =

A. -3/4

B. -2/3

C. -1/3

D. 1/3

E. 2/3

rajatchopra1994 · Answer

Explanation:

3/(3+1/z) = 2
3 = 6 + 2/z
-3 = 2/z
z = -2/3

2yz = 1
(-4/3)*y = 1
y = -3/4

IMO-A

CrackverbalGMAT · Answer

From equation (1), we have  \frac{1}{2y}

In Equation (2), since the RHS is 2, the denominator has to be 1.5 = 3/2

Substituting for z, we get  3 + \frac{1}{\frac{1}{2y}} = 3 + 2y = \frac{3}{2}

2y = \frac{3}{2} - 3 = -\frac{3}{2}

y = -\frac{3}{4}

Option A

Arun Kumar

winterschool · Answer

\frac{3}{3 + \frac{1}{z}} = 2

\frac{3z}{3z+1} = 2

3z = 6z + 2

3z = -2

z = \frac{-2}{3}

2yz = 1

2 * y *\frac{ -2}{3} = 1

-4y = 3

y = - \frac{3}{4}

Answer A

Abhishek009 · Answer

2yz = 1  and  \frac{3}{3 + \frac{2yz}{z}} = 2

Or, \frac{3}{3 + 2y} = 2

Or,  6 + 4y = 3

Or,  4y = -3

Or,  y = -\frac{3}{4} , Answer must be (A)

bluejeanbaby · Answer

First, use equation 2 (the fraction). Get a common denominator in the denominator, and flip so that you only have one fraction. That fraction is equal to 2.
Then, solve z.

Next, use equation 1. Plug in z and solve y.

See picture below, y = -3/4. Answer is A.

Attachment:

Best method.png [ 18 KiB | Viewed 1599 times ]

If 2yz = 1 and 3/(3 + 1/z) = 2, y =

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If 2yz = 1 and 3/(3 + 1/z) = 2, y =

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