Question

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

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

Answer 1

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

Explanation:

Given that:

`y =(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)

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

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