Question

Help pls!!

2xy + 3xt - 7yt = 0
In the equation above, x and y are positive and
x< y. What is t in terms of x and y?
A) t= 1/2
B) t= 2xy / 3x - 7y
C) t= 2xy / 7y - 3x
D) t= xy / 2(y-x)

Answer 1

B

Explanation:

`2xy + 3xt - 7yt = 0`

`3xt - 7yt = - 2xy`

Factor out t

`t(3x - 7y) = - 2xy`

Divide by 3x-7y

`t = - (2xy)/(3x - 7y)`

But since x and y are positive, the answer is positive

`t = (2xy)/(3x - 7y)`