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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)

Respuesta :

Answer:

B

Step-by-step explanation:

[tex]2xy + 3xt - 7yt = 0[/tex]

[tex]3xt - 7yt = - 2xy[/tex]

Factor out t

[tex]t(3x - 7y) = - 2xy[/tex]

Divide by 3x-7y

[tex]t = - \frac{2xy}{3x - 7y} [/tex]

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

[tex]t = \frac{2xy}{3x - 7y} [/tex]

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