Home
Class 12
MATHS
If (4x )/(2y)=4, what is the value of (3...

If `(4x )/(2y)=4,` what is the value of `(3y)/(x)` ?

A

`3/4`

B

`4/3`

C

`3/2`

D

`2`

Text Solution

Verified by Experts

The correct Answer is:
C
Pick a simple number foe x, solve for y, and if y is also easy to work with, plug them into the expression you're trying to find. Say `x =2,` then you have `(4 (2))/(2y )=4,` which simplifies to `(8)/(2y)=4.` Solving for y, you multiply both sides by 2y and get `8=8y, so y =1,` another manageable number.
Now, plug these same values of x and y into `(3y)/(x)` to get `(3(1))/((2))=3/2.` Thus (C ) is correct.
Promotional Banner

Topper's Solved these Questions

  • SYSTEMS OF LINEAR EQUATIONS

    KAPLAN|Exercise NUMBER OF POSSIBLE SOLUTIONS|1 Videos

  • TRIGONOMETRY

    KAPLAN|Exercise SINE, COSINE, AND TANGENT|1 Videos

Similar Questions

Explore conceptually related problems

If (x)/(y)=(4)/(3) and (x)/(k)=(1)/(2) , what is the value of (k)/(y) ?

If (1)/(x) + (1)/(y) = 2 and (3)/(x) + (4)/(y) = 7 , what is the value of (x + y) ?

If 3x-2y=5 , what is the value of (8^(x))/(4^(y)) ?

IF 4x+2y=24 and (7y)/(2x)=7 , what is the value of x?

if 2x-3y=10, what is the value of (4^(x))/(8^(y)) ?

If (1)/(x+y) + (1)/(x-y) = 4 and (2)/(x+y) + (3)/(x-y) = 9 what is the value of x ?

If ((x+2)/(y+2))=(3)/(4) , then what is the value of ((2+y)/(2+x))^(2) ?

If x/3=4 and x+y=32, what is the value of x-y?

If 1/5x-2/3y=4 . What is the value of 3x-10y ?