Question

Given the model below, make x the subject of the model:

y = (4-5x)/(2x-7)

Answer 1

Answer:

$x = \dfrac{7y - 4 }{2y +5 }$

Step-by-step explanation:

Given that:

$y =\dfrac{4-5x}{2x-7}$

If we cross multiply the above expression, we have:

y(2x - 7)= 4 - 5x

2xy - 7y = 4 - 5x

2xy +5x -7y + 4 = 0

x(2y +5) -7y + 4 = 0

x(2y + 5) = 7y - 4

Divide both sides by (2y+5)

$\dfrac{x(2y + 5)}{2y + 5} = \dfrac{7y - 4 }{2y +5 }$

$x = \dfrac{7y - 4 }{2y +5 }$