If xy^2 = 12 and xy = 4, then x =

Question

If  xy^2 = 12  and  xy = 4 , then x =

A. 1

B. 2

C.  \sqrt{3}

D.  \frac{2}{3}

E.  \frac{4}{3}

RohitGoyal1123 · Answer

xy^2 = 12  and  xy = 4 
now replace  xy = 4  in  y*xy  = 12
y = 3
Replacing y in  xy = 12

X =  \frac{4}{3}

Option  E

AkshdeepS · Answer

Given :   xy^2 = 12  or  xy*y = 12  -----(I)

&

xy = 4 -----(II)

Using I and II

4y = 12

y = 3

Therefore ,  x (3)^2 = 12

x = \frac{12}{9}

x = \frac{4}{3}

(E)

generis · Answer

xy^2 = 12  and  xy=4

x*y*y = 12 , i.e.,  (x*y)*y=12 
 4*y=12 
 y=3

x=? 
 xy=4 , and  y=3 
 x*3=4 
 x =\frac{4}{3}

Answer E

JeffTargetTestPrep · Answer

Let’s first establish that both x and y must be positive. Since xy^2 = 12, we see that x must be positive. And since xy = 4, we see that y must also be positive.

Dividing the first equation by the second, we have:

y = 3

Substituting y = 3 into the second equation, we have:

x(3) = 4

x = 4/3

Alternate Solution:

Let’s rewrite the first equation as:

x(xy) = 12

We are given that xy = 9, so we can substitute:

x(9) = 12

x = 12/9 = 4/3

Answer: E

elenysuk1 · Answer

1.divide: 
 xy^2 = 12 
/  xy = 4  
y=3
2. substitute:
x=4/3 => E

Abhishek009 · Answer

y = \frac{xy^2}{xy}

So,  y = \frac{12}{4}

Or,  y = 3

We know that  xy^2 = 12

Or,  9x = 12

Or,  x = \frac{4}{3} , Hence Answer must be (E)

hasnain3047 · Answer

xy^2 = 12 
 xy*y = 12 
 4y = 12 
 y=3 
so
 3x=4 
 x=\frac{4}{3}

If xy^2 = 12 and xy = 4, then x =

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If xy^2 = 12 and xy = 4, then x =

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